Found 3,626 Documents (Results 1–100)
Automatic discovery of irrationality proofs and irrationality measures. (English) Zbl 07924595
Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 637-647 (2024).
Transcendence measure of \(e^{1/n}\). (English) Zbl 07919516
Abdellatif, Ramla (ed.) et al., Women in numbers Europe IV. Research directions in number theory. Selected papers based on the presentations at the 4th workshop, WINE 4, Utrecht, the Netherlands, August 29 – September 2, 2022. Cham: Springer. Assoc. Women Math. Ser. 32, 195-222 (2024).
A simple and self-contained proof for the Lindemann-Weierstrass theorem. (English) Zbl 07918585
Guàrdia, Jordi (ed.) et al., New frontiers in number theory and applications. Cham: Birkhäuser. Trends Math., 349-366 (2024).
MSC:
11J81
On algebraic conditions for the nonvanishing of linear forms in Jacobi theta-constants. (English) Zbl 07915672
On effective irrationality exponents of cubic irrationals. (English) Zbl 07904956
Reviewer: Jan Šustek (Ostrava)
Transcendence of certain sequences of algebraic numbers. (English) Zbl 07899209
Reviewer: Jaroslav Hančl (Ostrava)
On uniform polynomial approximation. (Sur l’approximation polynomiale uniforme.) (English. French summary) Zbl 07894206
Reviewer: Paul Voutier (London)
Explicit formulas for the exponential and logarithm of the Carlitz-Tate twist, and applications. (English. French summary) Zbl 07892784
On some methods of evaluating irrationality measure of the function \(\arctan x\) values. (Russian. English summary) Zbl 1541.11061
On angles between linear subspaces in \(\mathbb{R}^4\) and the singularity. (English. Russian original) Zbl 07878662
Math. Notes 115, No. 3, 414-419 (2024); translation from Mat. Zametki 115, No. 3, 450-457 (2024).
Reviewer: Jaroslav Hančl (Ostrava)
Irrationality of certain fast converging series and infinite products. (English) Zbl 07875556
Reviewer: Jaroslav Hančl (Ostrava)
Transcendence of generalised Euler-Kronecker constants. (English) Zbl 07873468
Reviewer: Jaroslav Hančl (Ostrava)
A Dirichlet character analogue of Ramanujan’s formula for odd zeta values. (English) Zbl 07873206
Reviewer: Shigeru Kanemitsu (Kitakyūshū)
Non-vanishing of multiple zeta values for higher genus curves over finite fields. (English) Zbl 07865959
Reviewer: Sami Omar (Sukhair)
The transcendence of growth constants associated with polynomial recursions. (English) Zbl 07864373
Reviewer: Artūras Dubickas (Vilnius)
“The riddle of the ages”: James Joseph Sylvester and the transcendence of \(\pi\). (English) Zbl 07864121
Reviewer: Christopher Hollings (Oxford)
Transcendental groups. (English) Zbl 07856049
Algebraic independence and linear difference equations. (English) Zbl 1543.12003
Reviewer: Alexander B. Levin (Washington, D.C.)
On the quasi-periodic Schneider continued fractions. (English) Zbl 07852706
Reviewer: Marcel G. de Bruin (Heemstede)
Values of certain Dirichlet series and higher derivative formulas of trigonometric functions. (English) Zbl 07850233
Reviewer: Sami Omar (Sukhair)
Attractors are not algebraic. (English) Zbl 07843781
Parts in \(k\)-indivisible partitions always display biases between residue classes. (English) Zbl 1536.05033
Relations between values of arithmetic Gevrey series, and applications to values of the gamma function. (English) Zbl 07841165
On algebraic properties of integrals of products of some hypergeometric functions. (English. Russian original) Zbl 07840455
Math. Notes 115, No. 2, 173-181 (2024); translation from Mat. Zametki 115, No. 2, 208-218 (2024).
Reviewer: Jaroslav Hančl (Ostrava)
Difference of irrationality measure functions. (English) Zbl 07838046
Reviewer: Jaroslav Hančl (Ostrava)
On polynomial representation by \(U\)-numbers. (English) Zbl 07836681
Reviewer: Jaroslav Hančl (Ostrava)
Uniform Diophantine approximation with restricted denominators. (English) Zbl 07827493
Reviewer: József Sándor (Cluj-Napoca)
Residue of special functions of Anderson \(A\)-modules at the characteristic graph. (English) Zbl 07827480
On the transcendence of power towers of Liouville numbers. (English) Zbl 07827028
Reviewer: Jaroslav Hančl (Ostrava)
Initial nonrepetitive complexity of regular episturmian words and their Diophantine exponents. (English) Zbl 1540.68206
A generalized family of transcendental functions with one dimensional Julia sets. (English) Zbl 1540.37066
Reviewer: Yupin Wang (Jinan)
Algebraicity modulo \(p\) of generalized hypergeometric series \({}_n F_{n - 1}\). (English) Zbl 07813869
Reviewer: Jaroslav Hančl (Ostrava)
On quotients of derivatives of \(L\)-functions inside the critical strip. (English) Zbl 07813858
Reviewer: B. Z. Moroz (Bonn)
Algebraicity criteria, invariant subvarieties and transcendence problems from arithmetic dynamics. (English) Zbl 1532.11099
Values of \(E\)-functions are not Liouville numbers. (Les valeurs des \(E\)-fonctions ne sont pas des nombres de Liouville.) (English. French summary) Zbl 1543.11061
Reviewer: Jaroslav Hančl (Ostrava)
Analytic Ax-Schanuel for semi-abelian varieties and Nevanlinna theory. (English) Zbl 07810905
Reviewer: Dinh Tuan Huynh (Hue)
Minimization of differential equations and algebraic values of \(E\)-functions. (English) Zbl 07810339
Discrepancy estimates for some linear generalized monomials at prime arguments. (English) Zbl 07796583
On restricted approximation measures of Jacobi’s triple product. (English) Zbl 1539.11103
Reviewer: Tanguy Rivoal (Grenoble)
MSC:
11J82
On the distribution of the Hodge locus. (English) Zbl 07790853
Reviewer: Salim Tayou (Hanover)
Algebraic independence of values of quasi-modular forms. (English) Zbl 1542.11054
Reviewer: Jaroslav Hančl (Ostrava)
Special values of derivatives of certain \(L\)-functions. arXiv:2408.13737
Preprint, arXiv:2408.13737 [math.NT] (2024).
On the third kind periods for abelian \(t\)-modules. arXiv:2408.11998
Preprint, arXiv:2408.11998 [math.NT] (2024).
Ranks of Matrices of Logarithms of Algebraic Numbers II: The Matrix Coefficient Conjecture. arXiv:2408.08178
Preprint, arXiv:2408.08178 [math.NT] (2024).
On the algebraic independence of logarithms of Anderson \(t\)-modules. arXiv:2407.18916
Preprint, arXiv:2407.18916 [math.NT] (2024).
Algebraic relations of special \(v\)-adic arithmetic gamma values and their period interpretations. arXiv:2407.15024
Preprint, arXiv:2407.15024 [math.NT] (2024).
On a Theorem of Nathanson on Diophantine Approximation. arXiv:2407.11525
Preprint, arXiv:2407.11525 [math.NT] (2024).
On a Theorem of Legendre on Diophantine Approximation. arXiv:2407.11166
Preprint, arXiv:2407.11166 [math.NT] (2024).
On simultaneous approximation to a real number, its square, and its cube, II. arXiv:2407.03226
Preprint, arXiv:2407.03226 [math.NT] (2024).
Can the quadratrix truly square the circle? arXiv:2406.14032
Preprint, arXiv:2406.14032 [math.NT] (2024).
Approximation measures for shifted logarithms of algebraic numbers via effective Poincare-Perron. arXiv:2406.10820
Preprint, arXiv:2406.10820 [math.NT] (2024).
Algebraic relations between sine and cosine values. arXiv:2406.01296
Preprint, arXiv:2406.01296 [math.NT] (2024).
On approximation to a real number by algebraic numbers of bounded degree. arXiv:2405.08341
Preprint, arXiv:2405.08341 [math.NT] (2024).
Mills’ constant is irrational. arXiv:2404.19461
Preprint, arXiv:2404.19461 [math.NT] (2024).
Transcendence properties of the Artin-Hasse exponential modulo \(p\). arXiv:2404.06968
Preprint, arXiv:2404.06968 [math.NT] (2024).
Drinfeld singular moduli, hyperbolas, units. arXiv:2404.01075
Preprint, arXiv:2404.01075 [math.NT] (2024).
Simultaneous Diophantine approximation to points on the Veronese curve. arXiv:2403.17685
Preprint, arXiv:2403.17685 [math.NT] (2024).
A strange identity of an MF (Mahler function). arXiv:2403.13604
Preprint, arXiv:2403.13604 [math.NT] (2024).
Zagier-Hoffman’s conjectures in positive characteristic II. arXiv:2402.11539
Preprint, arXiv:2402.11539 [math.NT] (2024).
Stirling-Ramanujan constants are exponential periods. arXiv:2402.02660
Preprint, arXiv:2402.02660 [math.NT] (2024).
Bi-\(\overline{\mathbb{Q}}\)-structures on Hermitian symmetric spaces and quadratic relations between CM periods. arXiv:2401.10488
Preprint, arXiv:2401.10488 [math.NT] (2024).
Irrationality of zeros of the digamma function. (English) Zbl 07914634
Maier, Helmut (ed.) et al., Number theory in memory of Eduard Wirsing. Cham: Springer. 237-243 (2023).
Reviewer: Jaroslav Hančl (Ostrava)
Transcendence of some power series in function fields. (English) Zbl 07856118
Reviewer: Jaroslav Hančl (Ostrava)
Transcendence of certain 2-adic numbers. (Russian. English summary) Zbl 1536.11116
A distribution related to Farey series. (Russian. English summary) Zbl 1536.11042
On polyadic numbers. (Russian. English summary) Zbl 1532.11087
Bhargava’s exponential functions and Bernoulli numbers associated to the set of prime numbers. (English) Zbl 1529.11091
Chabert, Jean-Luc (ed.) et al., Algebraic, number theoretic, and topological aspects of ring theory. Selected papers based on the cancelled conference on rings and polynomials, July 2020, and the fourth international meeting on integer-valued polynomials and related topics, CIRM, Luminy, France, July 19–24, 2021. Cham: Springer. 9-35 (2023).
Specializable series resulting from folded continued fractions and transcendence. (English) Zbl 1533.11015
Reviewer: Takao Komatsu (Hangzhou)
Algebraic properties of points of some infinite-dimensional metric spaces. (English. Russian original) Zbl 1532.11101
J. Math. Sci., New York 276, No. 3, 430-436 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 179, 81-87 (2020).
On \(q\)-ary periodic sequences. (English. Russian original) Zbl 1532.11100
J. Math. Sci., New York 276, No. 3, 384-386 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 179, 34-36 (2020).
MSC:
11J82
Infinite algebraic independence of some almost polyadic numbers. (English. Russian original) Zbl 1532.11102
J. Math. Sci., New York 276, No. 3, 379-383 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 179, 29-33 (2020).
On transcendental regular continued fractions. (English) Zbl 1541.11062
Reviewer: Jaroslav Hančl (Ostrava)
Ranks of matrices of logarithms of algebraic numbers. I: The theorems of Baker and Waldschmidt-Masser. (English) Zbl 1543.11059
Reviewer: Jaroslav Hančl (Ostrava)
MSC:
11J81
On the rank of Leopoldt’s and Gross’s regulator maps. (English) Zbl 07787221
Reviewer: Bouchaïb Sodaïgui (Valenciennes)
Algebraic independence results for a certain family of power series, infinite products, and Lambert type series. (English) Zbl 1543.11064
Reviewer: Paul Voutier (London)
Transcendence criterion with \((\beta,\mathcal{A})\)-representations in some quadratic integer bases. (English) Zbl 1539.11102
Reviewer: Jaroslav Hančl (Ostrava)
MSC:
11J81
The four exponentials problem and Schanuel’s conjecture. (English) Zbl 1543.11060
Morel, Jean-Michel (ed.) et al., Mathematics going forward. Collected mathematical brushstrokes. Cham: Springer. Lect. Notes Math. 2313, 579-592 (2023).
Reviewer: Vahagn Aslanyan (Manchester)
MSC:
11J81
Geometry of Diophantine exponents. (English. Russian original) Zbl 1542.11061
Russ. Math. Surv. 78, No. 2, 273-347 (2023); translation from Usp. Mat. Nauk 78, No. 2, 71-148 (2023).
Reviewer: Oleg Karpenkov (Liverpool)
Parametric geometry of numbers over a number field and extension of scalars. (Géométrie paramétrique des nombres sur un corps de nombres et extension des scalaires.) (English. French summary) Zbl 07771232
Reviewer: Stefan Kühnlein (Karlsruhe)
Transcendence and continued fraction expansion of values of Hecke-Mahler series. (English) Zbl 1536.11108
Reviewer: Mykhaylo Pahirya (Uzhhorod)
A transcendence of some infinite series. (English) Zbl 1540.11095
Reviewer: Jean-Paul Allouche (Paris)
On the Dirichlet problem in rectangular domain for Lavrentiev-Bitsadze equation. (English. Russian original) Zbl 1527.35188
Russ. Math. 67, No. 5, 1-7 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 5, 3-10 (2023).
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