arXiv math.NT Number Theory

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[arXiv math.NT Number Theory @mathNTb]

Rational Points on Affine Varieties over Finite Fields and Polygonal...
arXiv:2610.32930

[arXiv math.NT Number Theory @mathNTb]

A genus-two spectral curve of the Riemann \Xi-function: Real Structu...
arXiv:2610.32694

Spectral convergence associated with Weil's quadratic form
arXiv:2610.32704

Traces of Green's functions on \mathbb{H}^q over point-hypersurface ...
arXiv:2610.32825

[arXiv math.NT Number Theory @mathNTb]

The limiting zero counting measure for Eisenstein series
arXiv:2610.32590

Hausdorff dimension of canonical height spectra
arXiv:2610.32625

The Hardy--Littlewood asymptotic for primes p and p+4 from a uniform...
arXiv:2610.32672

[arXiv math.NT Number Theory @mathNTb]

Prime Numbers of the Form 24m+1 and Erd\"{o}s-Straus Conjecture
arXiv:2610.32302

Shintani Cocycle Decomposition of Topological Polylogarithms for Tot...
arXiv:2610.32363

Binary Quadratic Forms, Shintani Lifts, and Twisted L-Values
arXiv:2610.32470

[arXiv math.NT Number Theory @mathNTb]

An explicit bound on |\zeta_K(1+it)|
arXiv:2610.32012

A Sharp Upper Bound for the Frobenius Number
arXiv:2610.32219

Value-distribution of Euler--Zagier type multiple zeta-functions wit...
arXiv:2610.32242

[arXiv math.NT Number Theory @mathNTb]

On Parameterization of Some Problems in Number Theory
arXiv:2610.31905

Elliptic curve rank growth in multi-quadratic extensions
arXiv:2610.31925

Trivial Iwasawa modules and arithmetic linking numbers
arXiv:2610.31965

[arXiv math.NT Number Theory @mathNTb]

Biases in gaps between zeros of Dirichlet L-functions
arXiv:2610.31744

Divisor Sums with Spacing Constraints
arXiv:2610.31832

Quantitative nodal domain count for Maass forms
arXiv:2610.31857

[arXiv math.NT Number Theory @mathNTb]

On the arithmetic Siegel--Weil formula for orthogonal Shimura variet...
arXiv:2610.31173

Landau-Siegel zeros over a base field and effective Brauer-Siegel
arXiv:2610.31402

Nonvanishing of 2-primary Kolyvagin classes via simultaneous quadrat...
arXiv:2610.31631

[arXiv math.NT Number Theory @mathNTb]

OpenAI partially disproves Littlewood's 1961 L^\alpha-flat theorem
arXiv:2610.30797

The exponent 1/4 in three complexity bounds: integer bases, continue...
arXiv:2610.30937

Irrationality Exponents of Real CM Elliptic Periods and Powers of th...
arXiv:2610.31112

[arXiv math.NT Number Theory @mathNTb]

On the Open Problem in the 2023 Simon Marais Mathematics Competition
arXiv:2610.30658

Aspects of quadratic Chabauty via modular forms
arXiv:2610.30703

Complete Determination of the Gallai--van der Waerden Number \(\math...
arXiv:2610.30711

[arXiv math.NT Number Theory @mathNTb]

Simultaneous popular polynomial differences in higher dimensions
arXiv:2610.30335

An explicit elementary proof of no Landau--Siegel zeros
arXiv:2610.30476

Norm-Euclideanity in cyclic fields
arXiv:2610.30621

[arXiv math.NT Number Theory @mathNTb]

Squarefree values of random polynomials are Gaussian mixtures
arXiv:2610.29911

A Sharp Bound for Additive Complements
arXiv:2610.29963

Zeros of E_2, quasi-periods, and Schwarz maps
arXiv:2610.30025

[arXiv math.NT Number Theory @mathNTb]

Integer symplectic matrices in expanding boxes
arXiv:2610.29794

Integral trace forms of cyclic number fields without tameness
arXiv:2610.29876

On the notion of reasonable functions in Cohen--Lenstra type heuristics
arXiv:2610.29880

[arXiv math.NT Number Theory @mathNTb]

Perturbing the Conway sequence
arXiv:2610.29631

On the Gauss sphere problem
arXiv:2610.29636

Sharp spherical L^p\to L^4 extension estimates over finite fields in...
arXiv:2610.29664

[arXiv math.NT Number Theory @mathNTb]

Computing Theta Characteristics and their Galois action on general c...
arXiv:2610.29449

The exceptional set of Goldbach numbers within the set of squares
arXiv:2610.29470

Residue Sums Modulo Products of Two Distinct Odd Primes
arXiv:2610.29608

[arXiv math.NT Number Theory @mathNTb]

Mixed sums of infinite multiple zeta-star values with restricted ind...
arXiv:2610.29100

Statistics of entries of matrices from the general linear group over...
arXiv:2610.29305

Ideal class groups of certain real quadratic number fields and facto...
arXiv:2610.29347

[arXiv math.NT Number Theory @mathNTb]

The Octonionic Rational Wave Numbers: Non-Associative Sequence Algeb...
arXiv:2610.28921

Zeros of quadratic Dirichlet L-functions
arXiv:2610.29018

Construction of Galois modules describing ideal class groups and app...
arXiv:2610.29071

[arXiv math.NT Number Theory @mathNTb]

Subset sums of power values over Galois rings
arXiv:2610.28837

On a conjecture of Velani
arXiv:2610.28839

Hecke Orbits on Globally Drinfeld-Uniformized Shimura Varieties Are ...
arXiv:2610.28869

[arXiv math.NT Number Theory @mathNTb]

A quaternary Diophantine inequality with prime numbers of a special ...
arXiv:2610.28774

A relative Schinzel-Zassenhaus bound for the polynomial T^2 - 1
arXiv:2610.28782

Short sums of the M\"obius function over function fields
arXiv:2610.28822

[arXiv math.NT Number Theory @mathNTb]

An Asymptotic for Non-Wieferich Numbers
arXiv:2610.28685

A Counterexample to the Eventual Stability Conjecture
arXiv:2610.28688

Sch\"affer's conjecture for even k \le 42
arXiv:2610.28768