Number Theory

Authors and titles for May 2018

[201] arXiv:1805.07245 (cross-list from math.CO) [pdf, other]

Title: Combinatorial Structures in Random Matrix Theory Predictions for $L$-Functions

Helen Riedtmann

Comments: 155 pages, PhD thesis

Subjects: Combinatorics (math.CO); Number Theory (math.NT)

[202] arXiv:1805.07261 (cross-list from math.CO) [pdf, other]

Title: A Combinatorial Approach to Mixed Ratios of Characteristic Polynomials

Helen Riedtmann

Comments: 38 pages

Subjects: Combinatorics (math.CO); Number Theory (math.NT)

[203] arXiv:1805.07292 (cross-list from math.CO) [pdf, other]

Title: A $q$-extension of a partial differential equation and the Hahn polynomials

Zhi-Guo Liu

Comments: arXiv admin note: text overlap with arXiv:1805.02132 and arXiv:1709.06784

Journal-ref: The Ramanujan Journal 8(2015) 481--501

Subjects: Combinatorics (math.CO); Analysis of PDEs (math.AP); Complex Variables (math.CV); Number Theory (math.NT)

[204] arXiv:1805.07668 (cross-list from math.DS) [pdf, other]

Title: An a priori bound of rational functions on the Berkovich projective line

Yûsuke Okuyama

Comments: 10 pages. (v2) The complex counterpart is separated and the title is shortened

Subjects: Dynamical Systems (math.DS); Complex Variables (math.CV); Number Theory (math.NT)

[205] arXiv:1805.07927 (cross-list from cs.IT) [pdf, other]

Title: Category coding with neural network application

Qizhi Zhang, Kuang-chih Lee, Hongying Bao, Yuan You, Dongbai Guo

Subjects: Information Theory (cs.IT); Number Theory (math.NT)

[206] arXiv:1805.08049 (cross-list from math.AG) [pdf, other]

Title: Greenberg algebras and ramified Witt vectors

Alessandra Bertapelle, Maurizio Candilera

Comments: We improved some results. 19 pages

Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)

[207] arXiv:1805.08375 (cross-list from math.CO) [pdf, other]

Title: Counting partitions inside a rectangle

Stephen Melczer, Greta Panova, Robin Pemantle

Comments: Updated with additional references to existing literature, slightly different introductory exposition, and increased focus on connection to Kronecker coefficients

Subjects: Combinatorics (math.CO); Number Theory (math.NT); Probability (math.PR)

[208] arXiv:1805.08770 (cross-list from math.AG) [pdf, other]

Title: Geometry of Kottwitz-Viehmann Varieties

Jingren Chi

Comments: This article is an expanded and completely rewritten version of arxiv.org/abs/1710.11243. Results have been strengthened and several technical assumptions are removed

Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT); Representation Theory (math.RT)

[209] arXiv:1805.08900 (cross-list from math.CO) [pdf, other]

Title: A new bound on Erd\H{o}s distinct distances problem in the plane over prime fields

Alex Iosevich, Doowon Koh, Thang Pham, Chun-Yen Shen, Le Anh Vinh

Comments: V2: some typos have been fixed

Subjects: Combinatorics (math.CO); Number Theory (math.NT)

[210] arXiv:1805.08938 (cross-list from math.CO) [pdf, other]

Title: Monochromatic Hilbert cubes and arithmetic progressions

József Balogh, Mikhail Lavrov, George Shakan, Adam Zsolt Wagner

Subjects: Combinatorics (math.CO); Number Theory (math.NT)

[211] arXiv:1805.09188 (cross-list from math.CO) [pdf, other]

Title: Improved Bounds for Pencils of Lines

Oliver Roche-Newton, Audie Warren

Subjects: Combinatorics (math.CO); Number Theory (math.NT)

[212] arXiv:1805.09312 (cross-list from math.DS) [pdf, other]

Title: Ergodicity of Iwasawa continued fractions via markable hyperbolic geodesics

Anton Lukyanenko, Joseph Vandehey

Comments: Expanded introduction. To appear in ETDS

Subjects: Dynamical Systems (math.DS); Number Theory (math.NT)

[213] arXiv:1805.09709 (cross-list from math.AG) [pdf, other]

Title: Explicit resolution of weak wild quotient singularities on arithmetic surfaces

Andrew Obus, Stefan Wewers

Comments: Final version, to appear in the Journal of Algebraic Geometry. 31 pages

Journal-ref: J. Algebraic Geom. 29 (2020), no. 4, 691--728

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC); Number Theory (math.NT)

[214] arXiv:1805.10223 (cross-list from math.AG) [pdf, other]

Title: Computing square-free polarized abelian varieties over finite fields

Stefano Marseglia

Comments: accepted by Math. Comp. major revision: added computation of the group of points; examples have been exported on the repo

Journal-ref: Mathematics of Computation 90 (2021), no. 328, 953-971

Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)

[215] arXiv:1805.10551 (cross-list from math.CA) [pdf, other]

Title: An $l^2$ decoupling interpretation of efficient congruencing: the parabola

Zane Kun Li

Comments: 36 pages; revised version incorporating referee comments

Subjects: Classical Analysis and ODEs (math.CA); Number Theory (math.NT)

[216] arXiv:1805.10580 (cross-list from math.AG) [pdf, other]

Title: Geometric consistency of Manin's Conjecture

Brian Lehmann, Akash Kumar Sengupta, Sho Tanimoto

Comments: 56 pages, minor revision, to appear in Compositio Mathematica

Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)

[217] arXiv:1805.10830 (cross-list from math.GR) [pdf, other]

Title: Non-existence of Hopf-Galois structures and bijective crossed homomorphisms

Cindy Tsang

Comments: Accepted version

Journal-ref: J. Pure Appl. Algebra 223 (2019), no. 7, 2804-2821

Subjects: Group Theory (math.GR); Number Theory (math.NT)

[218] arXiv:1805.11114 (cross-list from hep-th) [pdf, other]

Title: Fermions on replica geometries and the $\Theta$-$\theta$ relation

Sunil Mukhi, Sameer Murthy

Subjects: High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG); Number Theory (math.NT)

[219] arXiv:1805.11261 (cross-list from math.CA) [pdf, other]

Title: Fuglede's conjecture holds on cyclic groups $\mathbb{Z}_{pqr}$

Ruxi Shi

Comments: 14 pages

Journal-ref: Discrete Analysis, 2019:14, 14pp

Subjects: Classical Analysis and ODEs (math.CA); Number Theory (math.NT)

[220] arXiv:1805.11552 (cross-list from math.RT) [pdf, other]

Title: On the crystal graph description of the stable Weyl group multiple Dirichlet series

Yuanqing Cai

Comments: Retitled

Journal-ref: J. Number Theory 215 (2020), pp. 186-215

Subjects: Representation Theory (math.RT); Combinatorics (math.CO); Group Theory (math.GR); Number Theory (math.NT)

[221] arXiv:1805.11904 (cross-list from math.DS) [pdf, other]

Title: On the dimension spectrum of infinite subsystems of continued fractions

Vasileios Chousionis, Dmitriy Leykekhman, Mariusz Urbański

Subjects: Dynamical Systems (math.DS); Number Theory (math.NT)

[222] arXiv:1805.12231 (cross-list from math.RT) [pdf, other]

Title: On the Ramanujan conjecture for automorphic forms over function fields I. Geometry

Will Sawin, Nicolas Templier

Subjects: Representation Theory (math.RT); Algebraic Geometry (math.AG); Number Theory (math.NT)

[223] arXiv:1805.12374 (cross-list from math.CO) [pdf, other]

Title: A step beyond Freiman's theorem for set addition modulo a prime

Pablo Candela, Oriol Serra, Christoph Spiegel

Comments: 13 pages, 1 figure

Subjects: Combinatorics (math.CO); Number Theory (math.NT)

[224] arXiv:1805.12566 (cross-list from math.AG) [pdf, other]

Title: Splitting Brauer classes using the universal Albanese

Wei Ho, Max Lieblich

Comments: 11 pages, references and acknowledgments updated, comments welcome at any time

Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT); Rings and Algebras (math.RA)