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Number Theory

Authors and titles for recent submissions

[ total of 54 entries: 1-25 | 26-50 | 51-54 ]
[ showing 25 entries per page: fewer | more | all ]

Fri, 1 Mar 2024

[1]  arXiv:2402.19445 [pdf, ps, other]
Title: Solution of the Diophantine equation $x^2 + p^k=y^n$
Authors: Arkabrata Ghosh
Comments: 12 pages
Subjects: Number Theory (math.NT)
[2]  arXiv:2402.19332 [pdf, ps, other]
Title: Siegel Zeros and the Hardy-Littlewood Conjecture
Authors: Yunan Wang
Subjects: Number Theory (math.NT)
[3]  arXiv:2402.19301 [pdf, ps, other]
Title: Strong divisibility sequences and sieve methods
Comments: 23 pages; appendix by Sandro Bettin
Subjects: Number Theory (math.NT)
[4]  arXiv:2402.19183 [pdf, ps, other]
Title: Prime isogenous discriminant ideal twins
Comments: 35 pages
Subjects: Number Theory (math.NT)
[5]  arXiv:2402.19032 [pdf, ps, other]
Title: Effective Results in The Metric Theory of Quantitative Diophantine Approximation
Comments: 48 pages, 0 figures
Subjects: Number Theory (math.NT)
[6]  arXiv:2402.18939 [pdf, ps, other]
Title: Positive values of non-homogeneous quadratic forms of type (1,4): A conjecture of Bambah, Dumir and Hans-Gill
Comments: 128 pages
Subjects: Number Theory (math.NT)
[7]  arXiv:2402.18772 [pdf, ps, other]
Title: Sparsity of stable primes for dynamical sequences
Authors: Joachim König
Subjects: Number Theory (math.NT); Dynamical Systems (math.DS); Group Theory (math.GR)
[8]  arXiv:2402.19331 (cross-list from math.AG) [pdf, ps, other]
Title: Multiplicative Hitchin Fibration and Fundamental Lemma
Authors: X. Griffin Wang
Comments: 243 pages
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[9]  arXiv:2402.19324 (cross-list from math.DS) [pdf, other]
Title: Entropy of axial product of multiplicative subshifts
Subjects: Dynamical Systems (math.DS); Combinatorics (math.CO); Number Theory (math.NT)
[10]  arXiv:2402.19300 (cross-list from math.RA) [pdf, other]
Title: $\mathrm{SL}_2$-like Properties of Matrices Over Noncommutative Rings and Generalizations of Markov Numbers
Comments: 40 pages, 10 figures. Comments welcome
Subjects: Rings and Algebras (math.RA); Number Theory (math.NT); Quantum Algebra (math.QA)
[11]  arXiv:2402.19169 (cross-list from math.CO) [pdf, ps, other]
Title: Improved bounds for skew corner-free sets
Authors: Adrian Beker
Comments: 15 pages
Subjects: Combinatorics (math.CO); Number Theory (math.NT)

Thu, 29 Feb 2024

[12]  arXiv:2402.18509 [pdf, ps, other]
Title: Old Meets New: Connecting Two Infinite Families of Congruences Modulo Powers of 5 for Generalized Frobenius Partition Functions
Comments: Mathematica supplement may be found online at this https URL or through email
Subjects: Number Theory (math.NT)
[13]  arXiv:2402.18395 [pdf, ps, other]
Title: Counting rationals and diophantine approximation in missing-digit Cantor sets
Comments: 26 pages + appendix and references
Subjects: Number Theory (math.NT)
[14]  arXiv:2402.18342 [pdf, ps, other]
Title: Local Fourier uniformity of higher divisor functions on average
Authors: Mengdi Wang
Comments: 38 pages, 2 figures
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[15]  arXiv:2402.18300 [pdf, ps, other]
Title: A proof of the extended double shuffle relation without using integrals
Authors: Shin-ichiro Seki
Comments: 7 pages
Subjects: Number Theory (math.NT)
[16]  arXiv:2402.18279 [pdf, ps, other]
Title: On the $p$-adic valuation of third order linear recurrence sequences
Comments: 12 pages
Subjects: Number Theory (math.NT)
[17]  arXiv:2402.18218 [pdf, ps, other]
Title: Homogeneity of arithmetic quantum limits for hyperbolic $4$-manifolds
Subjects: Number Theory (math.NT); Mathematical Physics (math-ph); Dynamical Systems (math.DS)
[18]  arXiv:2402.18034 [pdf, ps, other]
Title: On the relation between pseudocharacters and Chenevier's determinants
Authors: Amit Ophir
Comments: 7 pages
Subjects: Number Theory (math.NT); Representation Theory (math.RT)
[19]  arXiv:2402.18488 (cross-list from math.RT) [pdf, ps, other]
Title: Von Neumann Dimensions and Trace Formulas II: A Jacquet-Langlands correspondence for Arithmetic Group Algebras in $\rm{GL}(2)$
Authors: Jun Yang
Subjects: Representation Theory (math.RT); Number Theory (math.NT)
[20]  arXiv:2402.18042 (cross-list from math.AG) [pdf, ps, other]
Title: Gersten-type conjecture for henselian local rings of normal crossing varieties
Authors: Makoto Sakagaito
Comments: 50 pages
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[21]  arXiv:2402.17995 (cross-list from math.CO) [pdf, ps, other]
Title: Improved Bounds for Szemerédi's Theorem
Comments: 13 pages
Subjects: Combinatorics (math.CO); Number Theory (math.NT)
[22]  arXiv:2402.17994 (cross-list from math.CO) [pdf, ps, other]
Title: Quasipolynomial bounds on the inverse theorem for the Gowers $U^{s+1}[N]$-norm
Comments: 100 pages
Subjects: Combinatorics (math.CO); Dynamical Systems (math.DS); Number Theory (math.NT)
[23]  arXiv:2402.17849 (cross-list from math.CO) [pdf, ps, other]
Title: Bijections and congruences involving lattice paths and integer compositions
Comments: 30 pages, 5 figures
Subjects: Combinatorics (math.CO); Number Theory (math.NT)

Wed, 28 Feb 2024 (showing first 2 of 9 entries)

[24]  arXiv:2402.17755 [pdf, other]
Title: Prismatic $F$-Gauges and Fontaine--Laffaille modules
Comments: 39 pages
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[25]  arXiv:2402.17656 [pdf, ps, other]
Title: High dimensional Gross--Zagier formula: a survey
Authors: Wei Zhang
Comments: Lectures at the IHES 2022 Summer School on the Langlands Program, Comments welcome
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG); Representation Theory (math.RT)
[ total of 54 entries: 1-25 | 26-50 | 51-54 ]
[ showing 25 entries per page: fewer | more | all ]

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