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On a theorem of forelli in a non-standard setting. (English) Zbl 07928448

Eyral, Christophe (ed.) et al., GKLW-workshop in singularity theory in memory of Stanisław Łojasiewicz. Selected papers, Warsaw, Poland, December 2022. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 128, 127-134 (2024).

MSC: 32A05 32A10 14P15 14P20

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Chirvăsitu, Alexandru

High powers in endomorphism rings over Dedekind domains. (English) Zbl 07905762

J. Commut. Algebra 16, No. 3, 257-265 (2024).

MSC: 13F05 11F85 11R04 11R27 16U60 11D88 11F85 13A18 12J20 16W60

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Bugeaud, Yann; Han, Guo-Niu

The Thue-Morse continued fractions in characteristic 2 are algebraic. (English) Zbl 07903803

Acta Arith. 214, 1-22 (2024).

MSC: 11J70 11A55 11B85 11J61 11T55

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Shamseddine, Khodr

On the complex Levi-Civita field: algebraic and topological structures, and foundations for analysis. (English) Zbl 07892366

Khayyam J. Math. 10, No. 1, 70-89 (2024).

MSC: 26E30 11D88 12J25 54A10

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Akkarapakam, Sushmanth J.; Morton, Patrick

Periodic points of algebraic functions related to a continued fraction of Ramanujan. (English) Zbl 07883460

New York J. Math. 30, 783-827 (2024).

MSC: 14H05 37F05 11R37 11D88 11R29

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Khovanov, Mikhail

Decorated one-dimensional cobordisms and tensor envelopes of noncommutative recognizable power series. (English) Zbl 1541.18023

J. Pure Appl. Algebra 228, No. 11, Article ID 107689, 29 p. (2024).

Reviewer: Mee Seong Im (Annapolis)

MSC: 18M05 18M30 57K16 16W60 15A63

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Li, Weihua; Cao, Wei

Zeros of polynomials over finite Witt rings. (English) Zbl 07810094

Proc. Am. Math. Soc. 152, No. 4, 1531-1544 (2024).

MSC: 11T06 11D88 13F35

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Im, Mee Seong; Khovanov, Mikhail

One-dimensional topological theories with defects: the linear case. (English) Zbl 1532.18009

Im, Mee Seong (ed.) et al., Algebraic and topological aspects of representation theory. Virtual AMS special session on geometric and algebraic aspects of quantum groups and related topics, virtual, November 20–21, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 791, 105-146 (2024).

Reviewer: Hirokazu Nishimura (Tsukuba)

MSC: 18M05 18M30 57K16 16W60 15A63

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da Silva, André Belotto; Klimeš, Martin; Rebelo, Julio; Reis, Helena

A remark on first integrals of vector fields. (English) Zbl 1531.32039

Publ. Mat., Barc. 68, No. 1, 103-109 (2024).

MSC: 32S65 32M25

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Srimathy, S.

Totally ramified subfields of \(p\)-algebras over discrete valued fields with imperfect residue. arXiv:2406.17497

Preprint, arXiv:2406.17497 [math.RA] (2024).

MSC: 16K20 16W60 12F15 11S15

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Anikin, I. V.

Conformal symmetry and effective potential. I: Vacuum \(V_{z, x}\) operation for the Green functions. (English) Zbl 1542.81008

PTEP, Prog. Theor. Exper. Phys. 2023, No. 10, Article ID 103B03, 13 p. (2023).

MSC: 81P05 30F45 20N05 81T12 30C70 65M80 30B10

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Galanova, Natal’ya Yur’evna

On cuts of the quotient field of a ring of formal power series. (Russian. English summary) Zbl 1529.13018

Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2023, No. 83, 5-16 (2023).

MSC: 13J05 12J15 13F25

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Anscombe, Sylvy; Dittmann, Philip; Fehm, Arno

Axiomatizing the existential theory of \(\mathbb{F}_q((t))\). (English) Zbl 07783172

Algebra Number Theory 17, No. 11, 2013-2032 (2023).

MSC: 03C60 11D88 11G25 12L05

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Rella, Claudia

Resurgence, Stokes constants, and arithmetic functions in topological string theory. (English) Zbl 1538.81048

Commun. Number Theory Phys. 17, No. 3, 709-820 (2023).

MSC: 81T30 81Q10 11M06 14J32 30E15 32Q25 58K65 11A25 30B50 40G10

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Sodin, Mikhail; Wennman, Aron; Yakir, Oren

The random Weierstrass zeta function. I: Existence, uniqueness, fluctuations. (English) Zbl 1523.60092

J. Stat. Phys. 190, No. 10, Paper No. 166, 34 p. (2023).

MSC: 60G55 60K35 30B20 82B05

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Sodin, Mikhail; Wennman, Aron; Yakir, Oren

The random Weierstrass zeta function. II: Fluctuations of the electric flux through rectifiable curves. (English) Zbl 1523.60091

J. Stat. Phys. 190, No. 10, Paper No. 164, 29 p. (2023).

MSC: 60G55 60K35 30B20 82B05 11M41

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Grassi, Alba; Hao, Qianyu; Neitzke, Andrew

Exponential networks, WKB and topological string. (English) Zbl 07757106

SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 064, 44 p. (2023).

MSC: 81T45 40G10 39A70 39A12 34M40 34M60 14M25 40G10

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Cao, Wei; Wan, Daqing

Divisibility on point counting over finite Witt rings. (English) Zbl 1534.11050

Finite Fields Appl. 91, Article ID 102254, 25 p. (2023).

MSC: 11D88 11T06 13F35

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Manathunga, V. A.

The coefficients of the Jones polynomial. (English) Zbl 1521.57009

J. Knot Theory Ramifications 32, No. 7, Article ID 2350053, 12 p. (2023).

MSC: 57K16 57K14

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Hollands, Stefan; Ishibashi, Akihiro; Reall, Harvey S.

A stationary black hole must be axisymmetric in effective field theory. (English) Zbl 1529.83058

Commun. Math. Phys. 401, No. 3, 2757-2791 (2023).

MSC: 83C57 70E05 13F65 83E15 81T12 32A05

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Kaladze, T. D.; Misra, A. P.

Thermal expansion of atmosphere and stability of vertically stratified fluids. (English) Zbl 1528.83012

Phys. Lett., A 480, Article ID 128990, 5 p. (2023).

MSC: 83C35 85A20 81T28 30B10 35B05 32S60 62G07 80A10 83E05

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Bahns, Dorothea; Pinamonti, Nicola; Rejzner, Kasia

Equilibrium states for the massive sine-Gordon theory in the Lorentzian signature. (English) Zbl 1527.81100

J. Math. Anal. Appl. 526, No. 2, Article ID 127249, 68 p. (2023).

MSC: 81T40 80A10 35Q55 51M05 51B20 81T15 32Q35 83F05 81U20 16W60 46E30 62H20

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Krajewski, T.; Muller, T.; Tanasa, A.

Double scaling limit of the prismatic tensor model. (English) Zbl 1523.81141

J. Phys. A, Math. Theor. 56, No. 23, Article ID 235401, 39 p. (2023).

MSC: 81T32 26E70 81T15 30B10

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Lulek, T.; Stagraczyński, R.; Łabuz, M.

Separation of spherically and translationally covariant finite quantum spaces within the XXX model. (English) Zbl 1523.81044

Nucl. Phys., B 991, Article ID 116215, 40 p. (2023).

MSC: 81P68 82B20 81T32 40G10 65T60 33C50 82D40 81P16 82B23

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Madunts, A. I.

Rings generated by convergence sets of multidimensional complete field. (English. Russian original) Zbl 1529.11117

J. Math. Sci., New York 272, No. 3, 444-449 (2023); translation from Zap. Nauchn. Semin. POMI 500, 149-157 (2021).

Reviewer: Kevin Keating (Gainesville)

MSC: 11S80 11S15 11S31

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Kostolányi, Peter

Polynomially ambiguous unary weighted automata over fields. (English) Zbl 07681310

Theory Comput. Syst. 67, No. 2, 291-309 (2023).

MSC: 68Q70

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Hock, Alexander; Grosse, Harald; Wulkenhaar, Raimar

A Laplacian to compute intersection numbers on \(\overline{\mathcal{M}}_{g,n}\) and correlation functions in NCQFT. (English) Zbl 1521.81185

Commun. Math. Phys. 399, No. 1, 481-517 (2023).

MSC: 81T17 14D22 14H10 62H20 81T32 16W60 81R20

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Murakami, Kazuaki

A weak form of Greenberg’s generalized conjecture for imaginary quadratic fields. (English) Zbl 07641108

J. Number Theory 244, 308-338 (2023).

Reviewer: Cornelius Greither (Neubiberg)

MSC: 11R23 13F25

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Hickel, Michel; Matusinski, Mickaël

About the algebraic closure of formal power series in several variables. arXiv:2307.04424

Preprint, arXiv:2307.04424 [math.AC] (2023).

MSC: 13J05 13F25 14J99 12-08

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Sarkar, Mabud Ali; Shaikh, Absos Ali

Unlikely intersection in higher-dimensional formal groups and \(p\)-adic dynamical systems. arXiv:2306.01759

Preprint, arXiv:2306.01759 [math.NT] (2023).

MSC: 11S31 11S82 14L05 11F85 13J05 37P35

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Capuano, Laura; Murru, Nadir; Terracini, Lea

On the finiteness of \(\mathfrak{P}\)-adic continued fractions for number fields. (Sur la finitude des fractions continues \(\mathfrak{P}\)-adiques pour les corps de nombres.) (English. French summary) Zbl 1527.11058

Bull. Soc. Math. Fr. 150, No. 4, 743-772 (2022).

Reviewer: Marcel G. de Bruin (Heemstede)

MSC: 11J70 11D88 11Y65 11J72

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Bugeaud, Yann

On simultaneous approximation in fields of power series. (English) Zbl 1538.11137

Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 65(113), No. 2, 191-202 (2022).

Reviewer: Artūras Dubickas (Vilnius)

MSC: 11J61 11J13

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Huang, Yi-Zhi

Convergence in conformal field theory. (English) Zbl 1537.17047

Chin. Ann. Math., Ser. B 43, No. 6, 1101-1124 (2022).

MSC: 17B69 81T40 30F99 32A05

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Capuano, Laura; Murru, Nadir; Terracini, Lea

\(\mathfrak{P}\)-adic continued fractions for number fields. (English) Zbl 1508.11072

Rend. Semin. Mat., Univ. Politec. Torino 80, No. 1, 7-16 (2022).

Reviewer: Marcel G. de Bruin (Heemstede)

MSC: 11J70 11D88 11Y65 11J72

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Chistov, A. L.

An effective algorithm for deciding the solvability of a system of polynomial equations over \(p\)-adic integers. (English. Russian original) Zbl 1507.11111

St. Petersbg. Math. J. 33, No. 6, 1011-1033 (2022); translation from Algebra Anal. 33, No. 6, 162-196 (2021).

MSC: 11U05 12L05 11D88 14Q15

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Sarkar, Mabud Ali; Shaikh, Absos Ali

Rigidity and unlikely intersection for stable \(p\)-adic dynamical systems. (English) Zbl 1501.37096

\(p\)-Adic Numbers Ultrametric Anal. Appl. 14, No. 2, 157-163 (2022).

MSC: 37P05 37P10 11S82 11S31

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Wang, Shanwen; Yuan, Yijun

Uniformizer of the false Tate curve extension of \(\mathbb{Q}_p\). (English) Zbl 1502.11031

Ramanujan J. 58, No. 2, 549-595 (2022).

Reviewer: Takao Komatsu (Hangzhou)

MSC: 11B73 11D88 11P83 11S20 11T22 12E30 12F10 41A58

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Backlinks: MO MO

Kuhlmann, Salma; Serra, Michele

The automorphism group of a valued field of generalised formal power series. (English) Zbl 1494.13031

J. Algebra 605, 339-376 (2022).

Reviewer: Ali Benhissi (Monastir)

MSC: 13J05 12J20 16W60 06F20

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Bell, Jason; Bugeaud, Yann

Mahler’s and Koksma’s classifications in fields of power series. (English) Zbl 1492.11114

Nagoya Math. J. 246, 355-371 (2022).

Reviewer: István Gaál (Debrecen)

MSC: 11J61 11J04 11J81

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Can, Büşra; Kekeç, Gülcan

On transcendental continued fractions in fields of formal power series over finite fields. (English) Zbl 1494.11058

Bull. Aust. Math. Soc. 105, No. 3, 392-403 (2022).

Reviewer: Marcel G. de Bruin (Heemstede)

MSC: 11J61 11J70 11J82

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Poyeton, Léo

Formal groups and lifts of the field of norms. (English) Zbl 1515.11115

Algebra Number Theory 16, No. 2, 261-290 (2022).

Reviewer: Manouchehr Misaghian (Prairie View)

MSC: 11S31 11S15 11S20 11S82 13F25

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Byszewski, Jakub; Cornelissen, Gunther; Tijsma, Djurre

Automata and finite order elements in the Nottingham group. (English) Zbl 1503.11063

J. Algebra 602, 484-554 (2022).

Reviewer: Thomas B. Ward (Durham)

MSC: 11B85 11G20 11S31 11Y16 20E45 20F10 68Q70

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Kekeç, Gülcan

On the transcendental values of Cantor-like power series. (English) Zbl 1487.11071

Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 4, 15 p. (2022).

Reviewer: Jan Šustek (Ostrava)

MSC: 11J81 11J17

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Kekeç, Gülcan

On Mahler’s classification of formal power series over a finite field. (English) Zbl 1489.11101

Math. Slovaca 72, No. 1, 265-273 (2022).

Reviewer: István Gaál (Debrecen)

MSC: 11J61 11J82

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Jackson, David M.; Kempf, Achim; Morales, Alejandro H.

Towards a more algebraic footing for quantum field theory. (English) Zbl 1519.81382

J. Phys. A, Math. Theor. 54, No. 28, Article ID 285201, 46 p. (2021).

MSC: 81T05 81Q30 81T18

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Çalişkan, Fatma

Liouville numbers and lacunary power series in the field of formal Laurent series. (English) Zbl 1499.11239

C. R. Acad. Bulg. Sci. 74, No. 7, 957-963 (2021).

Reviewer: Petar Popivanov (Sofia)

MSC: 11J17 11J61 11J81

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Hamahata, Yoshinori

\(p\)-adic approximation of Dedekind sums in function fields. (English) Zbl 1479.11066

Funct. Approximatio, Comment. Math. 65, No. 2, 199-210 (2021).

MSC: 11F20 11D88 11G09

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Song, Kun; Yin, Deshun; Yang, Haibing; Schiavone, P.

Interaction effects on heat conduction and thermal stress in an infinite elastic plane with two circular holes. (English) Zbl 1489.74010

AMM, Appl. Math. Mech., Engl. Ed. 42, No. 2, 223-234 (2021).

MSC: 74F05 74K20 74S70

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Knight, J. F.; Lange, K.

Lengths of roots of polynomials in a Hahn field. (English. Russian original) Zbl 1515.12004

Algebra Logic 60, No. 2, 95-107 (2021); translation from Algebra Logika 60, No. 2, 145-165 (2021).

MSC: 12J15 12J10 12L12 03C60 03E10

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Bellon, Marc P.; Russo, Enrico I.

Resurgent analysis of Ward-Schwinger-Dyson equations. (English) Zbl 1499.81056

SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 075, 18 p. (2021).

MSC: 81Q40 81T16 40G10

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Singh, Deepika; Arora, Rajan

Propagation of shock waves in a non-ideal gas under the action of magnetic field. (English) Zbl 1470.35236

Math. Methods Appl. Sci. 44, No. 2, 1514-1528 (2021).

MSC: 35L67 35L45 35L60 35L65 35Q35

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Clavier, Pierre J.

Borel-Écalle resummation of a two-point function. (English) Zbl 1508.81941

Ann. Henri Poincaré 22, No. 6, 2103-2136 (2021).

MSC: 81T17 81T15 81Q40 30F99 40G10

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Li, Chao; Huang, Cheng; Wang, Shuang; Cai, Deng’an

A modified Laurent series for hole/inclusion problems in plane elasticity. (English) Zbl 1468.30010

Z. Angew. Math. Phys. 72, No. 3, Paper No. 124, 10 p. (2021).

MSC: 30B10 30B50 74B05 74S70

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Elias, J.; Rossi, M. E.

A constructive approach to one-dimensional Gorenstein \({\mathbf{k}} \)-algebras. (English) Zbl 1465.13020

Trans. Am. Math. Soc. 374, No. 7, 4953-4971 (2021).

Reviewer: Scott Nollet (Fort Worth)

MSC: 13H10 13H15 14C05 13F20 13F25

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Jansen, Sabine; Kuna, Tobias; Tsagkarogiannis, Dimitrios

Lagrange inversion and combinatorial species with uncountable color palette. (English) Zbl 1464.32001

Ann. Henri Poincaré 22, No. 5, 1499-1534 (2021).

MSC: 32A05 47J07 05A15 82B21 81T15

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Kallal, Kenz; Kirkpatrick, Hudson

Ramification of wild automorphisms of Laurent series fields. (English) Zbl 1464.11125

Proc. Am. Math. Soc. 149, No. 3, 991-1009 (2021).

Reviewer: Mouad Moutaoukil (Fès)

MSC: 11S15 11D88 11S82 20E36 20E18

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Balduf, Paul-Hermann

Dyson-Schwinger Equations in Minimal Subtraction. arXiv:2109.13684

Preprint, arXiv:2109.13684 [hep-th] (2021).

MSC: 81T15 45M05 81T17 40G10

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Shipra, Kumari; Sharma, Shambhu N.; Maurya, Rakesh

Passivity-based controllers for ZVS quasi-resonant boost converter. (English) Zbl 1542.93170

IET Control Theory Appl. 14, No. 20, 3461-3475 (2020).

MSC: 93C10 93C15 34A34

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Mirzoev, K. A.; Safonova, T. A.

Representations of \(\zeta (2n + 1)\) and related numbers in the form of definite integrals and rapidly convergent series. (English. Russian original) Zbl 1501.11087

Dokl. Math. 102, No. 2, 396-400 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 494, 48-52 (2020).

Reviewer: Stelian Mihalas (Timişoara)

MSC: 11M06 11J72 30B10

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Chattopadhyay, Arghya; Dutta, Parikshit; Dutta, Suvankar; Ghoshal, Debashis

Matrix model for Riemann zeta via its local factors. (English) Zbl 1473.81146

Nucl. Phys., B 954, Article ID 114996, 37 p. (2020).

MSC: 81T32 14J10 15B52 11D88 81Q10

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Koral’kov, D.; Ovsiyuk, E. M.; Kisel, V. V.; Chichurin, A. V.; Voynova, Ya. A.; Red’kov, V. M.

Spinless particle with Darwin-Cox structure in an external Coulomb field. (English) Zbl 1459.81040

Nonlinear Phenom. Complex Syst., Minsk 23, No. 4, 357-373 (2020).

MSC: 81Q05 81V10 81R20

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Gorchinskiy, Sergeĭ O.; Osipov, Denis V.

Iterated Laurent series over rings and the Contou-Carrère symbol. (English. Russian original) Zbl 1457.19005

Russ. Math. Surv. 75, No. 6, 995-1066 (2020); translation from Usp. Mat. Nauk 75, No. 6, 3-84 (2020).

Reviewer: Wilberd van der Kallen (Utrecht)

MSC: 19D45 13J05 14L15 19F05 13F25

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David, Sinnou; Hirata-Kohno, Noriko; Kawashima, Makoto

Can polylogarithms at algebraic points be linearly independent? (English) Zbl 1459.11144

Mosc. J. Comb. Number Theory 9, No. 4, 389-406 (2020).

Reviewer: István Gaál (Debrecen)

MSC: 11G55 11J72 11J82 11J86 11M35 11D75 11D88

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Smirnov, A. L.

Witt vectors and the field with one element. (English. Russian original) Zbl 1451.11028

J. Math. Sci., New York 249, No. 1, 95-103 (2020); translation from Zap. Nauchn. Semin. POMI 479, 146-159 (2019).

MSC: 11E81 13F25 11G99 11M55

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Schrempf, Konrad

A factorization theory for some free fields. (English) Zbl 1475.16026

Int. Electron. J. Algebra 28, 9-42 (2020).

Reviewer: Wen-Fong Ke (Tainan)

MSC: 16K40 16Z05 16G99 16S10

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Klep, Igor; Vinnikov, Victor; Volčič, Jurij

Local theory of free noncommutative functions: germs, meromorphic functions, and Hermite interpolation. (English) Zbl 1444.32003

Trans. Am. Math. Soc. 373, No. 8, 5587-5625 (2020).

MSC: 32A20 47A56 16W60 16R50 32A05 16K40

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Berger, Laurent

Rigidity and unlikely intersections for formal groups. (English) Zbl 1519.11066

Acta Arith. 195, No. 3, 305-312 (2020).

Reviewer: Matthew Schmidt (Allegany)

MSC: 11S31 11F80 11S82 13J05 37P35

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Richman, Fred

Laurent series over \(\mathbb{R}\). (English) Zbl 1440.13095

Commun. Algebra 48, No. 5, 1982-1984 (2020).

Reviewer: Ali Benhissi (Monastir)

MSC: 13F25

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Bostan, Alin; Caruso, Xavier; Christol, Gilles; Dumas, Philippe

Fast coefficient computation for algebraic power series in positive characteristic. (English) Zbl 1531.11118

Scheidler, Renate (ed.) et al., ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16–20, 2018. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 2, 119-135 (2019).

MSC: 11Y16 12-08 68W30

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Sakhnovich, Lev

The deviation factor and divergences in quantum electrodynamics, concrete examples. (English) Zbl 1476.81147

Phys. Lett., A 383, No. 24, 2846-2853 (2019).

MSC: 81V10 81T13 81U20 40A05 60F05

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Bugeaud, Yann; Zhang, Zhenliang

On homogeneous and inhomogeneous Diophantine approximation over the fields of formal power series. (English) Zbl 1436.11098

Pac. J. Math. 302, No. 2, 453-480 (2019).

Reviewer: Simon Kristensen (Aarhus)

MSC: 11K55 11J04 28A80

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Madunts, A. I.; Vostokov, S. V.; Vostokova, R. P.

Formal groups over sub-rings of the ring of integers of a multidimensional local field. (English. Russian original) Zbl 1505.11146

Vestn. St. Petersbg. Univ., Math. 52, No. 1, 59-65 (2019); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 6(64), No. 1, 88-97 (2019).

MSC: 11S31

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Bennis, Driss; Mounirh, Karim; Taraza, Fouad

On generalized graded crossed products and Kummer subfields of simple algebras. (English) Zbl 1423.16020

Bull. Korean Math. Soc. 56, No. 4, 939-959 (2019).

MSC: 16K50 16W50 16W60 16W70

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Ludkowski, S. V.

Extensions and spectra of ultranormed algebras. (English) Zbl 1448.46063

Far East J. Math. Sci. (FJMS) 110, No. 2, 365-379 (2019).

Reviewer: Stefan Cobzaş (Cluj-Napoca)

MSC: 46S10 47S10 46J05 12J25 16W60

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Bellon, Marc P.; Clavier, Pierre J.

Analyticity domain of a quantum field theory and accelero-summation. (English) Zbl 1424.81012

Lett. Math. Phys. 109, No. 9, 2003-2011 (2019).

MSC: 81Q40 81T16 40G10 44A10

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Popescu, Dorin; Rond, Guillaume

Remarks on Artin approximation with constraints. (English) Zbl 1431.13012

Osaka J. Math. 56, No. 3, 431-440 (2019).

Reviewer: Radoslav M. Dimitrić (New York)

MSC: 13B40 03C20 12L10 13J05 14B12

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Flynn, Darren; Shamseddine, Khodr

On the topological structure of a Hahn field and convergence of power series. (English) Zbl 1478.12007

Indag. Math., New Ser. 30, No. 5, 773-795 (2019).

MSC: 12J10 12J25 26E30

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Natarajan, P. N.

Steinhaus type theorems over valued fields: a survey. (English) Zbl 1430.40005

Ruzhansky, Michael (ed.) et al., Advanced topics in mathematical analysis. Boca Raton, FL: CRC Press. 529-562 (2019).

MSC: 40C15 26E30

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Kuhlmann, Salma; Lehéricy, Gabriel

The differential rank of a differential-valued field. (English) Zbl 1423.12007

Math. Z. 292, No. 3-4, 1017-1049 (2019).

Reviewer: Ivan D. Chipchakov (Sofia)

MSC: 12H05 12J10 12J15 13F25 16W60

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Schrempf, Konrad

On the factorization of non-commutative polynomials (in free associative algebras). (English) Zbl 1426.16025

J. Symb. Comput. 94, 126-148 (2019).

MSC: 16S36 68W30

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Kaneko, Hajime

Arithmetical properties of real numbers related to beta-expansions. (English) Zbl 1443.11147

Funct. Approximatio, Comment. Math. 60, No. 2, 195-226 (2019).

MSC: 11J91 11K16 11J72 11R06

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Barrera-Figueroa, Víctor; Rabinovich, Vladimir S.; Rosas, Miguel Maldonado

Numerical estimates of the essential spectra of quantum graphs with delta-interactions at vertices. (English) Zbl 1412.81142

Appl. Anal. 98, No. 1-2, 458-482 (2019).

MSC: 81Q35 34B45 34L16 81Q10 81U30 46F10 81T80

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Knight, Julia F.; Lange, Karen

Lengths of developments in \(K((G))\). (English) Zbl 1428.12011

Sel. Math., New Ser. 25, No. 1, Paper No. 14, 36 p. (2019).

MSC: 12L12 03C60 11J61 12J15

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Berger, Laurent

Nonarchimedean dynamical systems and formal groups. (English) Zbl 1429.11209

Proc. Am. Math. Soc. 147, No. 4, 1413-1419 (2019).

Reviewer: Roberto Dvornicich (Pisa)

MSC: 11S82 11S31 32P05

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Keating, Kevin

On the numerology of ramification data for power series in characteristic \(p\). (English) Zbl 1466.11088

J. Number Theory 195, 338-357 (2019).

Reviewer: Ivan D. Chipchakov (Sofia)

MSC: 11S15

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Galanova, N. Yu.

On symmetric cuts of a real-closed field. (Russian. English summary) Zbl 1506.12007

Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2018, No. 53, 5-15 (2018).

MSC: 12J15 12F20

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Flynn, Darren; Shamseddine, Khodr

On integrable delta functions on the Levi-Civita field. (English) Zbl 1428.46048

\(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 1, 32-56 (2018).

MSC: 46S10 28E99 12J25

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Serban, Vlad

An infinitesimal \(p\)-adic multiplicative Manin-Mumford conjecture. (English. French summary) Zbl 1443.11247

J. Théor. Nombres Bordx. 30, No. 2, 393-408 (2018).

MSC: 11S31 13H05 13F25 14L05

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Lasjaunias, Alain

On particular families of hyperquadratic continued fractions in power series fields of odd characteristic. (English) Zbl 1408.11070

J. Integer Seq. 21, No. 8, Article 18.8.3, 19 p. (2018).

MSC: 11J70 11T55

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Gorchinskiy, Sergey O.; Krekov, Dmitriĭ M.

An explicit formula for the norm in the theory of fields of norms. (English. Russian original) Zbl 1441.11293

Russ. Math. Surv. 73, No. 2, 369-371 (2018); translation from Usp. Mat. Nauk 73, No. 2, 187-188 (2018).

Reviewer: Mouad Moutaoukil (Fès)

MSC: 11S15 11S31 13F25

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Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris

Maximal immediate extensions of valued differential fields. (English) Zbl 1437.12003

Proc. Lond. Math. Soc. (3) 117, No. 2, 376-406 (2018).

MSC: 12H05 12J20 16W60

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Çalişkan, Fatma

Transcendence of some power series for Liouville number arguments. (English) Zbl 1437.11100

Proc. Indian Acad. Sci., Math. Sci. 128, No. 3, Paper No. 29, 16 p. (2018).

Reviewer: Jaroslav Hančl (Ostrava)

MSC: 11J81 11J17 11J61

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Rivasseau, Vincent

Loop vertex expansion for higher-order interactions. (English) Zbl 1390.81285

Lett. Math. Phys. 108, No. 5, 1147-1162 (2018).

MSC: 81T08 81T15 81T18 05C07 40G10

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Allombert, Bill; Brisebarre, Nicolas; Lasjaunias, Alain

On a two-valued sequence and related continued fractions in power series fields. (English) Zbl 1426.11070

Ramanujan J. 45, No. 3, 859-871 (2018).

MSC: 11J70 11T55 11B85

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Motiee, Mehran

On the non-existence of cyclic splitting fields for division algebras. (English) Zbl 1427.16013

Forum Math. 30, No. 2, 385-395 (2018).

MSC: 16K20 11R52 16W60

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Gubser, Steven S.

A \(p\)-adic version of AdS/CFT. (English) Zbl 1383.81219

Adv. Theor. Math. Phys. 21, No. 7, 1655-1678 (2018).

MSC: 81T40 81T20 11D88 05C05 81T18

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Giau, Le Thi Ngoc; Toan, Phan Thanh

Transcendental degree in power series rings. (English) Zbl 1414.13006

J. Algebra 501, 51-67 (2018).

MSC: 13B30 12F20 13F25 13G05

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Costin, Ovidiu; Dunne, Gerald V.

Convergence from divergence. (English) Zbl 1387.81270

J. Phys. A, Math. Theor. 51, No. 4, Article ID 04LT01, 10 p. (2018).

MSC: 81T15 81T60 11J70 40G10

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Klep, Igor

The real spectrum of a noncommutative ring and the Artin-Lang homomorphism theorem. (English) Zbl 1416.16044

Algebr. Represent. Theory 21, No. 1, 1-17 (2018).

MSC: 16W60 13J30 06F25 12E15

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Bellon, Marc P.; Clavier, Pierre J.

Alien calculus and a Schwinger-Dyson equation: two-point function with a nonperturbative mass scale. (English) Zbl 1382.81102

Lett. Math. Phys. 108, No. 2, 391-412 (2018).

MSC: 81Q40 81T16 40G10 81T17 81Q20 81S40

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Found 644 Documents (Results 1–100)

On a theorem of forelli in a non-standard setting. (English) Zbl 07928448

High powers in endomorphism rings over Dedekind domains. (English) Zbl 07905762

The Thue-Morse continued fractions in characteristic 2 are algebraic. (English) Zbl 07903803

On the complex Levi-Civita field: algebraic and topological structures, and foundations for analysis. (English) Zbl 07892366

Periodic points of algebraic functions related to a continued fraction of Ramanujan. (English) Zbl 07883460

Decorated one-dimensional cobordisms and tensor envelopes of noncommutative recognizable power series. (English) Zbl 1541.18023

Zeros of polynomials over finite Witt rings. (English) Zbl 07810094

One-dimensional topological theories with defects: the linear case. (English) Zbl 1532.18009

A remark on first integrals of vector fields. (English) Zbl 1531.32039

Totally ramified subfields of \(p\)-algebras over discrete valued fields with imperfect residue. arXiv:2406.17497

Conformal symmetry and effective potential. I: Vacuum \(V_{z, x}\) operation for the Green functions. (English) Zbl 1542.81008

On cuts of the quotient field of a ring of formal power series. (Russian. English summary) Zbl 1529.13018

Axiomatizing the existential theory of \(\mathbb{F}_q((t))\). (English) Zbl 07783172

Resurgence, Stokes constants, and arithmetic functions in topological string theory. (English) Zbl 1538.81048

The random Weierstrass zeta function. I: Existence, uniqueness, fluctuations. (English) Zbl 1523.60092

The random Weierstrass zeta function. II: Fluctuations of the electric flux through rectifiable curves. (English) Zbl 1523.60091

Exponential networks, WKB and topological string. (English) Zbl 07757106

Divisibility on point counting over finite Witt rings. (English) Zbl 1534.11050

The coefficients of the Jones polynomial. (English) Zbl 1521.57009

A stationary black hole must be axisymmetric in effective field theory. (English) Zbl 1529.83058

Thermal expansion of atmosphere and stability of vertically stratified fluids. (English) Zbl 1528.83012

Equilibrium states for the massive sine-Gordon theory in the Lorentzian signature. (English) Zbl 1527.81100

Double scaling limit of the prismatic tensor model. (English) Zbl 1523.81141

Separation of spherically and translationally covariant finite quantum spaces within the XXX model. (English) Zbl 1523.81044

Rings generated by convergence sets of multidimensional complete field. (English. Russian original) Zbl 1529.11117

Polynomially ambiguous unary weighted automata over fields. (English) Zbl 07681310

A Laplacian to compute intersection numbers on \(\overline{\mathcal{M}}_{g,n}\) and correlation functions in NCQFT. (English) Zbl 1521.81185

A weak form of Greenberg’s generalized conjecture for imaginary quadratic fields. (English) Zbl 07641108

About the algebraic closure of formal power series in several variables. arXiv:2307.04424

Unlikely intersection in higher-dimensional formal groups and \(p\)-adic dynamical systems. arXiv:2306.01759

On the finiteness of \(\mathfrak{P}\)-adic continued fractions for number fields. (Sur la finitude des fractions continues \(\mathfrak{P}\)-adiques pour les corps de nombres.) (English. French summary) Zbl 1527.11058

On simultaneous approximation in fields of power series. (English) Zbl 1538.11137

Convergence in conformal field theory. (English) Zbl 1537.17047

\(\mathfrak{P}\)-adic continued fractions for number fields. (English) Zbl 1508.11072

An effective algorithm for deciding the solvability of a system of polynomial equations over \(p\)-adic integers. (English. Russian original) Zbl 1507.11111

Rigidity and unlikely intersection for stable \(p\)-adic dynamical systems. (English) Zbl 1501.37096

Uniformizer of the false Tate curve extension of \(\mathbb{Q}_p\). (English) Zbl 1502.11031

The automorphism group of a valued field of generalised formal power series. (English) Zbl 1494.13031

Mahler’s and Koksma’s classifications in fields of power series. (English) Zbl 1492.11114

On transcendental continued fractions in fields of formal power series over finite fields. (English) Zbl 1494.11058

Formal groups and lifts of the field of norms. (English) Zbl 1515.11115

Automata and finite order elements in the Nottingham group. (English) Zbl 1503.11063

On the transcendental values of Cantor-like power series. (English) Zbl 1487.11071

On Mahler’s classification of formal power series over a finite field. (English) Zbl 1489.11101

Towards a more algebraic footing for quantum field theory. (English) Zbl 1519.81382

Liouville numbers and lacunary power series in the field of formal Laurent series. (English) Zbl 1499.11239

\(p\)-adic approximation of Dedekind sums in function fields. (English) Zbl 1479.11066

Interaction effects on heat conduction and thermal stress in an infinite elastic plane with two circular holes. (English) Zbl 1489.74010

Lengths of roots of polynomials in a Hahn field. (English. Russian original) Zbl 1515.12004

Resurgent analysis of Ward-Schwinger-Dyson equations. (English) Zbl 1499.81056

Propagation of shock waves in a non-ideal gas under the action of magnetic field. (English) Zbl 1470.35236

Borel-Écalle resummation of a two-point function. (English) Zbl 1508.81941

A modified Laurent series for hole/inclusion problems in plane elasticity. (English) Zbl 1468.30010

A constructive approach to one-dimensional Gorenstein \({\mathbf{k}} \)-algebras. (English) Zbl 1465.13020

Lagrange inversion and combinatorial species with uncountable color palette. (English) Zbl 1464.32001

Ramification of wild automorphisms of Laurent series fields. (English) Zbl 1464.11125

Dyson-Schwinger Equations in Minimal Subtraction. arXiv:2109.13684

Passivity-based controllers for ZVS quasi-resonant boost converter. (English) Zbl 1542.93170

Representations of \(\zeta (2n + 1)\) and related numbers in the form of definite integrals and rapidly convergent series. (English. Russian original) Zbl 1501.11087

Matrix model for Riemann zeta via its local factors. (English) Zbl 1473.81146

Spinless particle with Darwin-Cox structure in an external Coulomb field. (English) Zbl 1459.81040

Iterated Laurent series over rings and the Contou-Carrère symbol. (English. Russian original) Zbl 1457.19005

Can polylogarithms at algebraic points be linearly independent? (English) Zbl 1459.11144

Witt vectors and the field with one element. (English. Russian original) Zbl 1451.11028

A factorization theory for some free fields. (English) Zbl 1475.16026

Local theory of free noncommutative functions: germs, meromorphic functions, and Hermite interpolation. (English) Zbl 1444.32003

Rigidity and unlikely intersections for formal groups. (English) Zbl 1519.11066

Laurent series over \(\mathbb{R}\). (English) Zbl 1440.13095

Fast coefficient computation for algebraic power series in positive characteristic. (English) Zbl 1531.11118

The deviation factor and divergences in quantum electrodynamics, concrete examples. (English) Zbl 1476.81147

On homogeneous and inhomogeneous Diophantine approximation over the fields of formal power series. (English) Zbl 1436.11098

Formal groups over sub-rings of the ring of integers of a multidimensional local field. (English. Russian original) Zbl 1505.11146

On generalized graded crossed products and Kummer subfields of simple algebras. (English) Zbl 1423.16020

Extensions and spectra of ultranormed algebras. (English) Zbl 1448.46063