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math.NT2026

Algorithmic universal étale $(φ,Γ)$-modules

Zhongyipan Lin

math.NT2026

On the Petersson norm $\langleθ_ψ,θ_ψ\rangle$

Wei-Lun Tsai, Dongxi Ye

math.NT2026

Factorial residues modulo a prime: beyond the square-root bound

Xiyu Hu

math.NT2026

Integral Representations and Asymptotics for a Family of Areal Mahler Measures

Quanyu Tang, Shu Zhang

math.NT2026

Every quasiperfect number has at least eight distinct prime factors

Akira Toyohara, Ye Tao, Siqiong Yao

math.NT2026

Multiple Zeta Values

Henrik Bachmann

math.NT2026

Samart's conjecture n_4(81)=40M_7: the exact CM evaluation and the two obstructions. A status report

Huimin Zheng

math.NT2026

Isogeny graphs of elliptic curves in characteristic zero

Alexander J. Barrios, Enrique González-Jiménez, Ivan Novak

math.NT2026

Automorphic functions for square-zero extensions of curves over finite fields

Ka Fai Wong

math.NT2026

Additive decompositions of multiplicative subgroups in prime fields: a self-contained approach

Chi Hoi Yip, Semin Yoo

math.NT2026

Constructing Self-Regulating Field Theoriesfrom Primal Wave Fields without Background Manifolds:The Emergence of the Coordinate Continuum

Terence R. Smith

math.NT2026

A New Characteristic-Uniform Model for Elliptic Curves -- Theory, Arithmetic, and Applications

Hongfeng Wu

math.NT2026

The Local Four-Square Problem over \(\mathbb{Z}_{p^k}\)

Heikki Orelma

math.NT2026

On the $L^6$-norm of holomorphic Hecke eigenforms

Chengliang Guo, Liangxun Li

math.NT2026

Mahler measures at interior CM points: proofs of two conjectures of Samart

Huimin Zheng

math.NT2026

An intermediate conjecture between Goldbach and Dubner: every even number is the sum of a prime and a twin prime

Tushar Pandey

math.NT2026

Lattice point sumsets and asymptotic approximate groups

Arindam Biswas, Pavlo Yatsyna

math.NT2026

Weights in étale cohomology over mixed-characteristic local fields and applications to anabelian geometry

Yoshiaki Yamamura

math.NT2026

Distribution of simplices in the discrete and continuous settings

Thang Pham, Chun-Yen Shen, Boqing Xue

math.NT2026

Murmurations of quadratic and cubic characters over function fields

Matilde Lalín, Kyu-Hwan Lee, Thomas Oliver +1

math.NT2026

Nine-distance theorem and growth of best-approximation denominators

Nikita Shulga

math.NT2026

Arithmetic of elliptic curves induced by regular Diophantine triples

Nikola Adžaga

math.NT2026

Bilinear Kloosterman sums over small boxes and uniformity of a random walk

Ali Mohammadi

math.NT2026

On binomial order and primitivity of irreducible quadratic polynomials over finite fields

Li Zhu, Hongfeng Wu

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