K. Venkatasubbareddy Generalization on the higher moments of the Fourier coefficients of symmetric power $L$-functions https://arxiv.org/abs/2601.17079

Luc Rams\`es Talla Waffo The Mellin's transforms of $\dfrac{1}{\operatorname{arctanh} x}$ and $\dfrac{1}{\sqrt{1-x^2}\,\operatorname{arctanh} x}$ https://arxiv.org/abs/2601.17092

Razvan Barbulescu, Mugurel Barcau, Vicentiu Pasol, George C. Turcas Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography https://arxiv.org/abs/2601.17142

Blair Butler, Andreas-Stephan Elsenhans Arithmetic Information of Rational Elliptic Surfaces, and Shioda's Rank 68 Elliptic Surface https://arxiv.org/abs/2601.17182

Jacob Mayle, Jeremy Rouse Rational points on modular curves via maps to elliptic curves with rank zero https://arxiv.org/abs/2601.17202

Yangcheng Li An Infinite Family of Primitive Heron Triangles with Two Sides as Perfect Squares https://arxiv.org/abs/2601.17317

Hiroshi Onuki, Yukihiro Uchida, Ryo Yoshizumi Geometric construction of modular polynomials with level structures https://arxiv.org/abs/2601.17338

J. E. Cremona Hecke operators, Hecke Eigensystems, and Formal Modular Forms over Number Fields https://arxiv.org/abs/2601.17524

Pawan Singh Mehta, Biswajyoti Saha Laurent type expansion of multiple polylogarithms at integer points https://arxiv.org/abs/2601.17539

Chi Nguyen, Arman Yagci, Yunchuan Zhou Local Transitivity and Entanglement Obstructions for Primitive Points https://arxiv.org/abs/2601.17559

David Kurniadi Angdinata Computing L-functions of $ \lambda $-adic representations of global function fields https://arxiv.org/abs/2601.17766

Max A. Alekseyev Computing bounded solutions to linear Diophantine equations with the sum of divisors https://arxiv.org/abs/2601.17832

David J. Grynkiewicz, Runze Wang Pollard's theorem in general abelian groups https://arxiv.org/abs/2601.17922

Lenny Jones Monogenic even sextic trinomials and their Galois groups https://arxiv.org/abs/2601.17994

Benjamin Durkan, Christopher Hughes, Andrew Pearce-Crump Generalisations of the Landau--Gonek Theorem and applications to mean values of zeta https://arxiv.org/abs/2601.18025

Summer Haag, Praneel Samanta, Swati, Holly Swisher, Stephanie Treneer Repellent properties of perfect powers on partition functions: a heuristic approach https://arxiv.org/abs/2601.18138

Mabud Ali Sarkar On the Image of the $p$-adic Logarithm on Annuli of Principal Units https://arxiv.org/abs/2601.18187

Anup B Dixit Brauer-Siegel theorem for families of number fields over almost Sn fields https://arxiv.org/abs/2601.18408

Michael R. Powers "Infinitely Often" Transcendence of Gamma-Function Derivatives https://arxiv.org/abs/2601.18474

Daniel Larsen, Michael Larsen Robust additive bases without minimal subbases https://arxiv.org/abs/2601.18507

Tony Feng, Zhiwei Yun, Wei Zhang Arithmetic volumes of moduli stacks of Shtukas https://arxiv.org/abs/2601.18557

Anna Theorin Johansson The Hasse principle for diagonal forms restricted to a hypersurface of adjacent degree https://arxiv.org/abs/2601.18581

Shannon Starr Asymptotics of the d'Arcais Numbers at Small $k$ https://arxiv.org/abs/2601.18599

M. V. Pratsiovytyi, S. P. Ratushniak, Yu. Yu. Vovk, Ya. V. Goncharenko Fractal functions defined in terms of number representations in systems with a redundant alphabet https://arxiv.org/abs/2601.18610

Bo Jiang, Zhi-Wei Sun On series identities involving $\binom{4k}k$ and harmonic numbers https://arxiv.org/abs/2601.18645

Ralph Furmaniak An Explicit Entire Function of Order One with All Zeros on a Line and Bounded in a Half-Plane https://arxiv.org/abs/2601.18687

Neil Kolekar On the Distance Distribution of Reed-Muller Codes https://arxiv.org/abs/2601.18691

Jorge Antonio Gonz\'alez Layja Closed-Form Evaluation of Two Ap\'ery-Like Series of Weight 4 https://arxiv.org/abs/2601.16232

Anubhav Sharma, Mohit Tripathi, Lalit Vaishya Sparse Distribution of Coefficients of $\ell$-fold Product $L$-functions at Integers Represented by Quadratic Forms https://arxiv.org/abs/2601.16352

David Corwin, Ishai Dan-Cohen $p$-adic Periods and Selmer Scheme Images https://arxiv.org/abs/2601.16591

Jorma K. Merikoski (CMA), Pentti Haukkanen (CMA), Antonio Sasaki (CMA), Timo Tossavainen (LUT) On generalized eigenvalues of MAX matrices to MIN matrices and of LCM matrices to GCD matrices https://arxiv.org/abs/2601.16626

Sa\v{s}a Novakovi\'c The Diophantine equation $P(x)=\overset{r}{\underset{i=1}{\prod}}H_{n_i}$ https://arxiv.org/abs/2601.16757

Pawel Grzegrzolka, Jeffrey L. Meyer Sums of Reciprocals of Generalized Triangular Numbers https://arxiv.org/abs/2601.16770

Gabriele Bogo, Yingkun Li Partial Hasse invariants for genus zero curves in Hilbert modular varieties https://arxiv.org/abs/2601.16929

Gabriele Bogo, Yingkun Li Atkin polynomials for families of abelian varieties with real multiplication https://arxiv.org/abs/2601.16944

Wouter van Doorn On the length of an interval that contains distinct multiples of the first $n$ positive integers https://arxiv.org/abs/2601.16972

Nils Bruin, Brendan Creutz Explicit Brauer-Manin obstructions on plane quartics https://arxiv.org/abs/2601.16975

Stephan Baier On certain bilinear sums with modular square roots and applications https://arxiv.org/abs/2601.15448

Achilleas Karras, Benne de Weger Determinants of modular Collatz graphs and variants https://arxiv.org/abs/2601.15463

Daniel R. Johnston, Simon N. Thomas, Jonathan P. Sorenson, Jonathan E. Webster Primes and almost primes between cubes https://arxiv.org/abs/2601.15564

Kristyna Kramer, Jakub Krasensky Non-universality of ternary quadratic forms over fields containing $\sqrt2$ https://arxiv.org/abs/2601.15568

Ali Ebadi On the Zeros of the Riemann Zeta Function with Two Ordinate Shifts https://arxiv.org/abs/2601.15610

Anthony Lee Maximal Fuchsian subgroups of the $d=2$ Bianchi group https://arxiv.org/abs/2601.15700

Chahat Ahuja Visibility of Lattice Points across Polynomials https://arxiv.org/abs/2601.15877

Kalyan Banerjee Rank of elliptic curves and class groups of real quadratic fields https://arxiv.org/abs/2601.15988

Barinder S. Banwait, Xiaoyu Huang On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture https://arxiv.org/abs/2601.16044

Xavier Caruso, Florian F\"urnsinn Algorithms for Algebraic and Arithmetic Attributes of Hypergeometric Functions https://arxiv.org/abs/2601.16105

Jorge Fari\~na-Asategui, Santiago Radi Fixed-point proportion of geometric iterated Galois groups https://arxiv.org/abs/2601.16173

Gregorio Vettori Density-based structural frameworks for prime numbers, prime gaps, and Euler products https://arxiv.org/abs/2601.16193

Francesc Castella, Takamichi Sano On refined nonvanishing conjectures by Kurihara and Kolyvagin https://arxiv.org/abs/2601.14504