Found 194 Documents (Results 1–100)
Spherical cap discrepancy of perturbed lattices under the Lambert projection. (English) Zbl 07851505
Analytic properties of Speyer’s \(g\)-polynomial of uniform matroids. arXiv:2408.15506
Preprint, arXiv:2408.15506 [math.CO] (2024).
A modified local Weyl law and spectral comparison results for \(\delta'\)-coupling conditions. arXiv:2407.21719
Preprint, arXiv:2407.21719 [math.SP] (2024).
An investigation of continuous-time quantum walk on hypercube in view of Cartesian product structure. (English) Zbl 1516.81093
A New Lower Bound in the \(abc\) Conjecture. arXiv:2301.11056
Preprint, arXiv:2301.11056 [math.NT] (2023).
Monotone subsets in lattices and the Schensted shape of a Sós permutation. (English) Zbl 1508.11067
Reviewer: Symon Serbenyuk (Kyïv)
Subconvexity of Shintani’s zeta function. (English) Zbl 1507.11081
Reviewer: Wen-Wei Li (Beijing)
The continuous-time quantum walk on some graphs based on the view of quantum probability. (English) Zbl 1510.81011
Corrigendum to: “On a random search tree: asymptotic enumeration of vertices by distance from leaves”. (English) Zbl 1490.05002
Barely lonely runners and very lonely runners: a refined approach to the Lonely Runner Problem. (English) Zbl 1498.11169
N. M. Korobov, V. I. Nechaev, S. B. Stechkin, N. M. Dobrovolskiĭ and the revival of the Tula school of number theory. (Russian. English summary) Zbl 1471.01063
Fourier analytic techniques for lattice point discrepancy. (English) Zbl 1451.11060
Bilyk, Dmitriy (ed.) et al., Discrepancy theory. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 26, 173-216 (2020).
Reviewer: Anton Shutov (Vladimir)
Limiting entry and return times distribution for arbitrary null sets. (English) Zbl 1452.37007
Reviewer: George Stoica (Saint John)
Discrepancy of a convex set with zero curvature at one point. (English) Zbl 1451.11087
Reviewer: Christoph Aistleitner (Graz)
Almost-prime times in horospherical flows on the space of lattices. (English) Zbl 1470.37052
Reviewer: Giovanni Coppola (Napoli)
Generalized semimodularity: order statistics. (English) Zbl 1443.60028
Gozlan, Nathael (ed.) et al., High dimensional probability VIII. The Oaxaca volume. Selected papers based on the presentations at the 8th conference on high-dimensional probability, HDP VIII, Casa Matemática Oaxaca (CMO), Mexico, May 28 – June 2, 2017. Cham: Birkhäuser. Prog. Probab. 74, 99-119 (2019).
\(L^{p}\) norms of the lattice point discrepancy. (English) Zbl 1432.11069
Reviewer: Florian Pausinger (Belfast)
Explicit counting of ideals and a Brun-Titchmarsh inequality for the Chebotarev density theorem. (English) Zbl 1456.11218
Large families of pseudorandom binary lattices by using the multiplicative inverse modulo \(P\). (English) Zbl 1476.11110
Reviewer: Vassil Grozdanov (Blagoevgrad)
On the error term of a lattice counting problem. (English) Zbl 1380.11085
Reviewer: Katherine Roegner (Berlin)
Number-theoretic method in approximate analysis. (Russian. English summary) Zbl 1434.11136
On a random search tree: asymptotic enumeration of vertices by distance from leaves. (English) Zbl 1428.05005
Adv. Appl. Probab. 49, No. 3, 850-876 (2017); corrigendum ibid. 54, No. 2, 337-339 (2022).
Möbius quantum walk. (English) Zbl 1384.60080
Prescribing the binary digits of squarefree numbers and quadratic residues. (English) Zbl 1431.11015
Research on the characteristic of the five-element sub-lattice. (English) Zbl 1368.06003
Cao, Bing-Yuan (ed.) et al., International conference on oriental thinking and fuzzy logic. Celebration of the 50th anniversary in the era of complex systems and big data, Dalian, China, August 17–20, 2015. Cham: Springer (ISBN 978-3-319-30873-9/pbk; 978-3-319-30874-6/ebook). Advances in Intelligent Systems and Computing 443, 633-638 (2016).
On the Bose-Maslov statistics in the case of infinitely many degrees of freedom. (English. Russian original) Zbl 1357.11095
Dokl. Math. 93, No. 3, 326-328 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 6, 618-621 (2016).
Reviewer: Piotr Garbaczewski (Opole)
Constructing bounded remainder sets and cut-and-project sets which are bounded distance to lattices. (English) Zbl 1341.11043
Reviewer: Robert F. Tichy (Graz)
Circle numbers of regular convex polygons. (English) Zbl 1380.52002
Reviewer: Mowaffaq Hajja (Amman)
Integer chords and configurations of lattice points. (English) Zbl 1338.11093
Reviewer: Matthew C. Lettington (Cardiff)
Diophantine approximations and directional discrepancy of rotated lattices. (English) Zbl 1334.11059
Reviewer: Huaning Liu (Shaanxi)
Binary additive problem with numbers of special type. (Russian. English summary) Zbl 1437.11027
Multi-colour bounded remainder sets. (Russian. English summary) Zbl 1447.11081
Exchanged toric tilings, Rauzy substitution, and bounded remainder sets. (English. Russian original) Zbl 1387.11052
Math. Notes 98, No. 6, 932-948 (2015); translation from Mat. Zametki 98, No. 6, 878-897 (2015).
Matrix beta-integrals: an overview. (English) Zbl 1331.33003
Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXIII workshop, Białowieża, Poland, June 29 – July 5, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-18211-7/hbk; 978-3-319-18212-4/ebook). Trends in Mathematics, 257-272 (2015).
Integer matrices, sublattices of \(\mathbb Z^m\), and Frobenius numbers. (English) Zbl 1353.11057
Reviewer: Alexey Ustinov (Khabarovsk)
Distributions defined by \(q\)-supernomials, fusion products, and Demazure modules. (English) Zbl 1308.05012
\(\mathfrak{B}\)-free integers in number fields and dynamics. arXiv:1507.00855
Preprint, arXiv:1507.00855 [math.DS] (2015).
Iterated Chvátal-Gomory cuts and the geometry of numbers. (English) Zbl 1327.90114
Reviewer: Efstratios Rappos (Aubonne)
Some questions of number-theoretical method in approximation analysis. (Russian. English summary) Zbl 1312.11064
The \(L^{2}\) discrepancy of irrational lattices. (English) Zbl 1312.11062
Dick, Josef (ed.) et al., Monte Carlo and quasi-Monte Carlo methods 2012. Proceedings of the 10th international conference on ‘Monte Carlo and quasi-Monte Carlo methods in scientific computing’, Sydney, Australia, February 13–17, 2012. Berlin: Springer (ISBN 978-3-642-41094-9/hbk; 978-3-642-41095-6/ebook). Springer Proceedings in Mathematics & Statistics 65, 289-296 (2013).
Reviewer: Yukio Ohkubo (Kagoshima)
MSC:
11K38
Bounded remainder polyhedra. (English. Russian original) Zbl 1370.11092
Proc. Steklov Inst. Math. 280, Suppl. 2, S71-S90 (2013); translation from Sovrem. Probl. Mat. 16, 82-102 (2012).
Moduli of toric tilings into bounded remainder sets and balanced words. (English. Russian original) Zbl 1360.37043
St. Petersbg. Math. J. 24, No. 4, 601-629 (2013); translation from Algebra Anal. 24, No. 4, 97-136 (2012).
Some remarks on the moment problem and its relation to the theory of extrapolation of spaces. (English. Russian original) Zbl 1291.44015
Math. Notes 91, No. 1, 69-80 (2012); translation from Mat. Zametki 91, No. 1, 79-92 (2012).
Reviewer: Anatoly N. Kochubei (Kyïv)
Integer points in domains and adiabatic limits. (English. Russian original) Zbl 1290.11134
St. Petersbg. Math. J. 23, No. 6, 977-987 (2012); translation from Algebra Anal. 23, No. 6, 80-95 (2011).
The problem of the number of integer points in families of anisotropically expanding domains, with applications to spectral theory. (English. Russian original) Zbl 1290.11133
Math. Notes 92, No. 4, 574-576 (2012); translation from Mat. Zametki 92, No. 4, 632-635 (2012).
Reviewer: Olaf Ninnemann (Berlin)
LLL-reduction for integer knapsacks. (English) Zbl 1282.90146
MSC:
90C27
Exchanged toric developments and bounded remainder sets. (English. Russian original) Zbl 1272.11087
J. Math. Sci., New York 184, No. 6, 716-745 (2012); translation from Zap. Nauchn. Semin. POMI 392, 95-145 (2011).
Reviewer: Christian Richter (Jena)
Riemann zeros and phase transitions via the spectral operator on fractal strings. (English) Zbl 1252.81067
MSC:
81Q35
28A80
11M06
11M26
81U40
11M41
81R40
81-02
47A10
47B25
65N21
81Q12
82B27
11M55
28A75
34L05
34L20
35P20
47B44
47D03
Generalized Frobenius numbers: bounds and average behavior. (English) Zbl 1297.11014
Reviewer: Alessio Sammartano (West Lafayette)
Simple proofs for duality of generalized minimum poset weights and weight distributions of (near-)MDS poset codes. (English) Zbl 1280.94112
The discrepancy of the Korobov lattice points. (English. Russian original) Zbl 1262.41019
Izv. Math. 76, No. 3, 446-465 (2012); translation from Izv. Ross. Akad. Nauk, Ser. Mat 76, No. 3, 19-38 (2012).
Reviewer: Ana-Maria Acu (Sibiu)
On a family of two-dimensional bounded remainder sets. (Russian) Zbl 1302.11048
Reviewer: Dmitriy Frolenkov (Moscow)
Bounded remainder sets on a two-dimensional torus. (Russian) Zbl 1306.11054
Reviewer: Dmitriy Frolenkov (Moscow)
The two-dimensional Hecke-Kesten problem. (Russian) Zbl 1306.11055
Reviewer: Dmitriy Frolenkov (Moscow)
On the distribution of angles between the \(N\) shortest vectors in a random lattice. (English) Zbl 1268.60068
A lower bound on a quantity related to the quality of polynomial lattices. (English) Zbl 1247.11097
Reviewer: Yukio Ohkubo (Kagoshima)
Uniqueness theorems of entire functions sharing a nonzero complex number with their difference operators. (English) Zbl 1252.30021
Reviewer: Ting-Bin Cao (Nanchang)
The lattice discrepancy of certain three-dimensional bodies. (English) Zbl 1258.11087
Reviewer: Adam J. Harper (Montreal)
Adelic constructions of low discrepancy sequences. (English) Zbl 1245.11089
Reviewer: Dmitriy Frolenkov (Moscow)
A mean-square bound concerning the lattice discrepancy of a torus in \(\mathbb R^3\). (English) Zbl 1218.11091
Reviewer: Yukio Ohkubo (Kagoshima)
Integer knapsacks: average behavior of the Frobenius numbers. (English) Zbl 1218.90116
Reviewer: Raymond Hemmecke (Garching)
On the reduction of a random basis. (English) Zbl 1185.15030
Reviewer: Václav Burjan (Praha)
On similarity classes of well-rounded sublattices of \(\mathbb Z^2\). (English) Zbl 1175.11031
Reviewer: Ranjeet Sehmi (Chandigarh)
Two novel methods for generating spatiotemporal chaotic pseudorandom-bit sequences based on one way coupled map lattices. (Chinese. English summary) Zbl 1174.37312
On distribution of well-rounded sublattices of \(\mathbb Z^2\). (English) Zbl 1193.11069
Reviewer: Detlev Hoffmann (Nottingham)
The lattice discrepancy of bodies bounded by a rotating Lamé’s curve. (English) Zbl 1253.11092
Reviewer: Aleksandar Ivić (Beograd)
The lattice point discrepancy of a torus in \(\mathbb R^3\). (English) Zbl 1174.11079
Reviewer: Ekkehard Krätzel (Jena)
On the lattice discrepancy of bodies of rotation with boundary points of curvature zero. (English) Zbl 1139.11042
Reviewer: Ekkehard Krätzel (Wien)
An explicit estimate for the lattice point discrepancy of ellipsoids of rotation. (Eine explizite Abschätzung für die Gitter-Diskrepanz von Rotationsellipsoiden.) (German) Zbl 1173.11053
Reviewer: Bertrand Meyer (Lausanne)
A mean-square bound for the lattice discrepancy of bodies of rotation with flat points on the boundary. (English) Zbl 1118.11043
Reviewer: Matthias Beck (San Francisco)
An extension of Lorentz’s almost convergence and applications in Banach spaces. (English) Zbl 1164.40012
Reviewer: Anatolij M. Plichko (Krakow)
Lattice points in large regions and related arithmetic functions: recent developments in a very classic topic. (English) Zbl 1177.11084
Schwarz, Wolfgang (ed.) et al., Elementare und analytische Zahlentheorie. Tagungsband. Stuttgart: Franz Steiner Verlag (ISBN 3-515-08757-5/hbk). Schriften der Wissenschaftlichen Gesellschaft an der Johann-Wolfgang-Goethe-Universität Frankfurt am Main 20, 89-128 (2006).
Reviewer: Bertrand Meyer (Lausanne)
Statistics of lattice points in thin annuli for generic lattices. (English) Zbl 1160.11037
Doc. Math. 11, 1-23 (2006); erratum 12, 547-548 (2007).
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