arXiv math.NT Number Theory

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[arXiv math.NT Number Theory @mathNTb]

Coprime matchings of divisor sets
arXiv:2610.37512

[arXiv math.NT Number Theory @mathNTb]

Class numbers and finiteness of norm Euclidean quadratic lattices ov...
arXiv:2610.37377

Spectral L^2-bounds on Eisenstein series and Diophantine properties ...
arXiv:2610.37420

Rank functions, \mathbb{Z}_p-extensions and class numbers
arXiv:2610.37490

[arXiv math.NT Number Theory @mathNTb]

Universality Criterion Sets for Definite Quadratic Lattices over Pol...
arXiv:2610.37339

On p-Adic Valuation Trees Arising from Laplace Transform of Fibonacc...
arXiv:2610.37356

A zero-density estimate for the symmetric square L-functions in the ...
arXiv:2610.37371

[arXiv math.NT Number Theory @mathNTb]

Near-quadratic sum-product estimates in fixed number fields
arXiv:2610.36930

Factorization of Elliptic Divisibility Sequences via Modular Curves
arXiv:2610.37191

Explicit Serre weights for modular Galois representations of U(2)
arXiv:2610.37261

[arXiv math.NT Number Theory @mathNTb]

Finite Fields: Root Sets, Frobenius, and Algebraic Structure
arXiv:2610.36727

Density and Defect Distribution of Reduced Ideals Missed by the Redu...
arXiv:2610.36800

Large values of Hardy's Function from the Selberg class
arXiv:2610.36885

[arXiv math.NT Number Theory @mathNTb]

On the interpolation property of Kupferer's Lubin-Tate regulator maps
arXiv:2610.36600

Arithmetic Poisson summation formulas
arXiv:2610.36606

On extended interpolation properties of the Katz p-adic L-function
arXiv:2610.36607

[arXiv math.NT Number Theory @mathNTb]

Archimedean zeta integrals on {\rm SO}_{2n} \times {\rm GL}_n and ...
arXiv:2610.36489

Resolvent Components of Completely Normal Elements and the Morgan-Mu...
arXiv:2610.36534

Square-root logarithmic bounds for the arithmetic complexity of fact...
arXiv:2610.36588

[arXiv math.NT Number Theory @mathNTb]

Exact Generic Exponents of Approximation for the Action of the Integ...
arXiv:2610.36397

Moment representations for generalized Lehmer polynomials
arXiv:2610.36409

Effective Chebotarev-Sato-Tate distribution for Abelian varieties wi...
arXiv:2610.36464

[arXiv math.NT Number Theory @mathNTb]

Pointwise to global good reduction problems
arXiv:2610.36291

Gross--Prasad conjecture in geometric Langlands
arXiv:2610.36377

Metric Diophantine approximation with primes on irrational lines
arXiv:2610.36380

[arXiv math.NT Number Theory @mathNTb]

Computations in weight 3 of higher Bloch groups
arXiv:2610.36136

Infinite families and sporadic solutions of the equation \varphi(n)=...
arXiv:2610.36260

Retriangular numbers and affine maps between polygonal numbers
arXiv:2610.36284

[arXiv math.NT Number Theory @mathNTb]

Counting Markov triples and simple geodesics
arXiv:2610.36069

Uniform local models of quasi-unipotent p-adic differential equations
arXiv:2610.36130

Hankel determinants for the (n+2)-shifted q-metallic numbers
arXiv:2610.36132

[arXiv math.NT Number Theory @mathNTb]

On explicit formulas for Grassmannian polylogarithms and Gelfand-Mac...
arXiv:2610.35754

Improved lattice-packing bounds in small dimensions
arXiv:2610.35830

[arXiv math.NT Number Theory @mathNTb]

Spectral zeta functions in positive characteristic
arXiv:2610.35306

On Hecke algebras at exceptional Eisenstein primes
arXiv:2610.35559

On the Hasse principle for a block-diagonal form and a form of lower...
arXiv:2610.35639

[arXiv math.NT Number Theory @mathNTb]

Weighted density bounds for covering systems over Dedekind domains
arXiv:2610.35139

Bounds on the number of squares in recurrence sequences: y_{0}=b^{2}...
arXiv:2610.35158

Congruences modulo powers of 7 for partitions with colored odd parts
arXiv:2610.35292

[arXiv math.NT Number Theory @mathNTb]

Non-liftability of the field of norms of the p-adic false Tate curve...
arXiv:2610.35006

On almost perfect additive complements
arXiv:2610.35027

Galois groups of polynomials over a fixed number field: determinant ...
arXiv:2610.35030

[arXiv math.NT Number Theory @mathNTb]

Hartl's dictionary and a transcendence characterization of equichara...
arXiv:2610.34822

Dynamical Chowla conjecture for polynomials of several variables
arXiv:2610.34912

Counting Integral Matrices with Given Cubic Characteristic Polynomial
arXiv:2610.34973

[arXiv math.NT Number Theory @mathNTb]

Finiteness theorems for trace Euclidean quadratic lattices over tota...
arXiv:2610.34604

Geometric progressions in distance sets in odd dimensions over prime...
arXiv:2610.34758

The Family X_{qp^s} for Distinct Primes q,p in Connection with Carmi...
arXiv:2610.34808

[arXiv math.NT Number Theory @mathNTb]

Frangible prime gaps
arXiv:2610.34525

Results for distinct covering systems with a prime minimum modulus q...
arXiv:2610.34541

Admissible sets of integers in imaginary quadratic fields of class n...
arXiv:2610.34556

[arXiv math.NT Number Theory @mathNTb]

Three Quadratic Recurrences Modulo 3: What We Can Prove and What We ...
arXiv:2610.34300

On real biquadratic number fields for which the 2-Iwasawa module has...
arXiv:2610.34400

A symmetric extension of Zhao's series for \zeta(5)
arXiv:2610.34482

[arXiv math.NT Number Theory @mathNTb]

Explicit Coleman integration over finite extensions of \mathbb{Q}_p
arXiv:2610.33970

Finite-sum Identities and Supercongruences for Cubes of Catalan Numbers
arXiv:2610.34160

Cross numbers and the characterization of finite abelian groups by l...
arXiv:2610.34288