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Number Theory

Authors and titles for recent submissions

[ total of 43 entries: 1-43 ]
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Tue, 20 Mar 2018

[1]  arXiv:1803.07017 [pdf, ps, other]
Title: A Positive Proportion of Hasse Principle Failures in a Family of Châtelet Surfaces
Authors: Nick Rome
Comments: 13 pages, comments welcome
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[2]  arXiv:1803.06968 [pdf, ps, other]
Title: Bounded error uniformity of the linear flow on the torus
Authors: Bence Borda
Comments: 18 pages
Subjects: Number Theory (math.NT)
[3]  arXiv:1803.06932 [pdf, other]
Title: Orders of Tate-Shafarevich groups for the cubic twists of $X_0(27)$
Comments: Banach Center Publ. (to appear). arXiv admin note: text overlap with arXiv:1611.07840, arXiv:1611.08181
Subjects: Number Theory (math.NT)
[4]  arXiv:1803.06903 [pdf, ps, other]
Title: On class groups of random number fields
Comments: 28 pages; comments welcome!
Subjects: Number Theory (math.NT)
[5]  arXiv:1803.06849 [pdf, ps, other]
Title: The arithmetic derivative and Leibniz-additive functions
Subjects: Number Theory (math.NT)
[6]  arXiv:1803.06481 [pdf, ps, other]
Title: The density of visible points in the Ammann-Beenker point set
Subjects: Number Theory (math.NT)
[7]  arXiv:1803.06859 (cross-list from math.DS) [pdf, ps, other]
Title: Approximation of non-archimedean Lyapunov exponents and applications over global fields
Subjects: Dynamical Systems (math.DS); Number Theory (math.NT)
[8]  arXiv:1803.06700 (cross-list from math.LO) [pdf, ps, other]
Title: Categoricity of Shimura Varieties
Comments: 20 pages. Comments welcome
Subjects: Logic (math.LO); Algebraic Geometry (math.AG); Number Theory (math.NT)
[9]  arXiv:1803.06394 (cross-list from math.CO) [pdf, ps, other]
Title: Combinatorial proofs of two Euler type identities due to Andrews
Comments: 14 pages
Subjects: Combinatorics (math.CO); Number Theory (math.NT)

Mon, 19 Mar 2018

[10]  arXiv:1803.06261 [pdf, ps, other]
Title: Vector-valued higher depth quantum modular forms and higher mordell integrals
Comments: 20 pages
Subjects: Number Theory (math.NT); Quantum Algebra (math.QA); Representation Theory (math.RT)
[11]  arXiv:1803.06227 [pdf, ps, other]
Title: On the standard $L$-function for $GSp_{2n} \times GL_1$ and algebraicity of symmetric fourth $L$-values for $GL_2$
Comments: 47 pages. This paper supersedes arxiv:1702.05004
Subjects: Number Theory (math.NT)
[12]  arXiv:1803.06095 [pdf, ps, other]
Title: On the Iwasawa asymptotic class number formula for $\mathbb{Z}_p^r\rtimes\mathbb{Z}_p$-extensions
Comments: 17 pages
Subjects: Number Theory (math.NT)
[13]  arXiv:1803.06072 [pdf, ps, other]
Title: Computing Special L-values of Certain Modular Forms with Complex Multiplication
Comments: 30 pages
Subjects: Number Theory (math.NT)
[14]  arXiv:1803.06016 [pdf, ps, other]
Title: Twist-minimal trace formulas and the Selberg eigenvalue conjecture
Comments: 64 pages
Subjects: Number Theory (math.NT)
[15]  arXiv:1803.05954 [pdf, ps, other]
Title: On some abelian varieties of type IV
Authors: Steve Thakur
Subjects: Number Theory (math.NT)
[16]  arXiv:1803.05943 [pdf, ps, other]
Title: Closed form expressions for Appell polynomials
Comments: 16 pages
Subjects: Number Theory (math.NT)
[17]  arXiv:1803.05953 (cross-list from math.CO) [pdf, ps, other]
Title: Generalized Stirling Numbers I
Subjects: Combinatorics (math.CO); Number Theory (math.NT)

Fri, 16 Mar 2018

[18]  arXiv:1803.05895 [pdf, ps, other]
Title: Weak Modular Zilber-Pink with Derivatives
Authors: Vahagn Aslanyan
Comments: 29 pages
Subjects: Number Theory (math.NT); Logic (math.LO)
[19]  arXiv:1803.05816 [pdf, ps, other]
Title: Reduction type of non-hyperelliptic genus 3 curves
Comments: 26 pages
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[20]  arXiv:1803.05800 [pdf, ps, other]
Title: A geometric approach to large class groups: a survey
Comments: 14 pages, LaTeX
Subjects: Number Theory (math.NT)
[21]  arXiv:1803.05758 [pdf, ps, other]
Title: The measures of pseudorandomness and the NIST tests
Subjects: Number Theory (math.NT)
[22]  arXiv:1803.05743 [pdf, other]
Title: An equivariant Iwasawa main conjecture for local fields
Authors: Andreas Nickel
Comments: 38 pages
Subjects: Number Theory (math.NT)
[23]  arXiv:1803.05703 [pdf, ps, other]
Title: The Duffin-Schaeffer conjecture with extra divergence
Comments: 8 pages
Subjects: Number Theory (math.NT)
[24]  arXiv:1803.05862 (cross-list from math.DS) [pdf, ps, other]
Title: Mahler's Work and Algebraic Dynamical Systems
Comments: 20 pages, to appear in the book "Mahler Selecta" in the book series of Documenta Mathematica
Subjects: Dynamical Systems (math.DS); Number Theory (math.NT)
[25]  arXiv:1803.05857 (cross-list from math.PR) [pdf, ps, other]
Title: On some random variables involving Bernoulli random variable
Comments: 12 pages, no figures
Subjects: Probability (math.PR); Number Theory (math.NT)
[26]  arXiv:1803.05786 (cross-list from math.AG) [pdf, ps, other]
Title: Logarithmic Riemann-Hilbert correspondences for rigid varieties
Comments: 107 pages
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[27]  arXiv:1803.05624 (cross-list from math.AG) [pdf, ps, other]
Title: Covariants of binary sextics and modular forms of degree 2 with character
Comments: 18 pages
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)

Thu, 15 Mar 2018

[28]  arXiv:1803.05394 [pdf, ps, other]
Title: Super-positivity of a family of L-functions in the level aspect
Comments: 28 pages. For Don Zagier on his 65th birthday. To appear in Research in the Mathematical Sciences. Comments are welcome
Subjects: Number Theory (math.NT)
[29]  arXiv:1803.05236 [pdf, other]
Title: Some negative results related to Poissonian pair correlation problems
Comments: 18 pages, 1 figure
Subjects: Number Theory (math.NT)
[30]  arXiv:1803.05141 [pdf, ps, other]
Title: Arithmetic Functions of Balancing Numbers
Subjects: Number Theory (math.NT)
[31]  arXiv:1803.05096 [pdf, other]
Title: Markov spectra for modular billiards
Comments: 19 pages, 18 figures
Subjects: Number Theory (math.NT); Dynamical Systems (math.DS)
[32]  arXiv:1803.05308 (cross-list from math.CO) [pdf, ps, other]
Title: A generalization of Croot-Lev -Pach's Lemma and a new upper bound for the size of difference sets in polynomial rings
Authors: Gábor Hegedüs
Comments: 15 pages
Subjects: Combinatorics (math.CO); Number Theory (math.NT)
[33]  arXiv:1803.05164 (cross-list from math.CO) [pdf]
Title: A curious class of Hankel determinants
Authors: Johann Cigler
Comments: 32 pages
Subjects: Combinatorics (math.CO); Number Theory (math.NT)

Wed, 14 Mar 2018

[34]  arXiv:1803.04946 [pdf, other]
Title: On a conjecture of Buium and Poonen
Authors: Gregorio Baldi
Comments: Comments are welcome
Subjects: Number Theory (math.NT)
[35]  arXiv:1803.04914 [pdf, ps, other]
Title: A probabilistic generalization of the Stirling numbers of the second kind
Subjects: Number Theory (math.NT)
[36]  arXiv:1803.04875 [pdf, ps, other]
Title: Generating Bézout trees for Pythagorean pairs
Comments: 6 pages. We intend to submit for publishing in the Mathematical Gazette
Subjects: Number Theory (math.NT)
[37]  arXiv:1803.04835 [pdf, ps, other]
Title: Unlikely intersections in semi-abelian surfaces
Comments: 17 pages
Subjects: Number Theory (math.NT)
[38]  arXiv:1803.04705 [pdf, other]
Title: Kronecker Theorem, Dimension Theory and Almost Periodicity
Subjects: Number Theory (math.NT)
[39]  arXiv:1803.04637 [pdf, ps, other]
Title: On higher energy decompositions and the sum-product phenomenon
Authors: George Shakan
Comments: 26 pages
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[40]  arXiv:1803.04589 [pdf, ps, other]
Title: Height functions for motives, II
Authors: Kazuya Kato
Subjects: Number Theory (math.NT)
[41]  arXiv:1803.04583 [pdf, ps, other]
Title: Arithmetic of curves on moduli of local systems
Comments: 28 pages, comments welcome
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG); Geometric Topology (math.GT)
[42]  arXiv:1803.04533 [pdf, ps, other]
Title: A note on $p$-adic locally analytic functions with application to behavior of the $p$-adic valuations of Stirling numbers
Authors: Piotr Miska
Comments: To appear in Acta Arithmetica
Subjects: Number Theory (math.NT)
[43]  arXiv:1803.04529 [pdf, ps, other]
Title: The $r$-derangement numbers
Comments: Published in Discrete Mathematics
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[ total of 43 entries: 1-43 ]
[ showing up to 50 entries per page: fewer | more ]

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