511 — Теория чисел

Banded quadratic digit functions along irreducible polynomials over finite fields Kaimin Cheng · 2026

A proof of the $4,7$ cases of Sylvester's conjecture on cube sums Hongbo Yin · 2026

Boundary CM points and class groups of small exponent David Aiken, Erick Ross, Dmitriy Shvydkoy, Hui Xue · 2026

Lattice point counting problems on step-two nilpotent Lie groups Sheng-Chen Mao · 2026

Finite Étale Algebras over Fields · 2016

Glossary of frequently used notation · 2015

Limiting Distribution and Rate of Convergence for GL(3) Fourier Coefficients Zongqi Yu · 2026

Congruence Classes of Supporting the Erdös-Straus Conjecture I: Tame Solutions Xiaoping Xu · 2026

Balanced intersection size distributions in projective planes Zoltán Lóránt Nagy, Zsuzsa Weiner · 2026

On some arithmetic conditions of recurrent sequences modulo prime p Ilya Vyugin, Sashadhar Dutta · 2026

On the Harris-Viehmann conjecture for Hodge-Newton reducible local Shimura data of abelian type Sandra Nair, Xinyu Zhou · 2026

Prime Numbers and Unique Factorization · 2018

Decomposable form equations · 2015

On Periodic Sequences for Algebraic Numbers Thomas Garrity · 2001

Linear equations in Piatetski-Shapiro primes Xuancheng Shao, Yu-Chen Sun · 2026

The generalized Montgomery-Hooley formula: A survey Robert C. Vaughan · 2026

Short Salem polynomials James McKee, Chris Smyth · 2026

Fibonacci Numbers and Vieta Jumping for a Rational Diophantine Equation Steven J. Miller, Dimitrios Nikolakopoulos, Anitha Srinivasan · 2026

THE DISTRIBUTION OF PRIME NUMBERS K. Soundararajan · 2024

Producing Prime Numbers via Sieve Methods John B. Friedlander · 2024

The probability that random algebraic integers are relatively r-prime Brian D. Sittinger · 2010

Bounded-box reductions in the Subbarao-Warren problem for unitary perfect numbers Tom Maciejewski · 2026

An explicit lower bound for the unit distance problem Will Sawin · 2026

The pro-étale fundamental group of singular schemes Jiu-Kang Yu, Lei Zhang · 2026

On discrepancy estimates for pseudorandom vectors constructed by the elliptic curve congruential generator Ziran Liu, Chung Pang Mok · 2026

Ideals and Prime Factorization · 2022

Algebraic Independence of Transcendental Numbers: A Survey Michel Waldschmidt · 2000

Diophantine Approximation and Continued Fractions · 2025

Applications to Diophantine Equations · 2003

Number fields · 2010

Number Theory Daniel Duverney · 2010

Differential Algebraic Methods in Multiplicative Number Theory: A Constructive Framework for Explicit Formulae and Prime Distribution shifa liu · 2025

The number of prime numbers · 2024

Further applications · 2015

Exponents of Diophantine Approximation Yann Bugeaud · 2016

Diophantine Problems and Homogeneous Dynamics Manfred Einsiedler, Tom Ward · 2016

Rethinking Number Theory, Prime Numbers as Finite Entities and the Topological Constraints on Division in a Real Number Line Budee U Zaman · 2023

Elementary theory of prime numbers · 2004

A Determinant Congruence Conjectured by Sun Yutong Zhang, Yaoran Yang · 2026

Sun-type determinant and permanent congruences Yaoran Yang, Yutong Zhang · 2026

Non-admissibility of some universal supersingular representations Zachary Feng, Heejong Lee, Ray Li, Vaughan McDonald, Nischay Reddy · 2026

A Local Valuation Criterion for Quadratic-Permutation Interleaved Zadoff--Chu Sequences Yutong Zhang, Yaoran Yang · 2026

Quasiautomorphic forms are isomorphic to vector-valued automorphic forms Michael Andrew Henry · 2026

A strange continued fraction associated with the Romik map Yufei Chen, Karma Dajani, Yanyan Hu, Cor Kraaikamp · 2026

On a conjecture of Amdeberhan, Andrews and Ballantine for double Lambert series Rahul Kumar, Aman Singh · 2026

Diophantine equations · 2012

Arboreal Galois Groups of a PCF Map with Strictly Pre-periodic Critical Points Özlem Ejder, Zofia Gołaska, Yasemin Kara, Leonie Nienhaus, Özge Ülkem · 2026

Rethinking the work of Langlands on Eisenstein series Devadatta G. Hegde · 2026

Lines in the prime number graph Carl Pomerance, Patrick Solé · 2026

Bell Transforms of Arithmetic Functions: Euler Products, Congruences, and Polynomial Sequences Mahipal Gurram · 2026

Invariant Orders of Binary Forms · 2016

Diophantine Equations, II Don Redmond · 2020

On a Fermat-Type Diophantine Equation Sankar Sitaraman · 2000

Diophantine Equations, I Don Redmond · 2020

A diophantine problem concerning cubes Ajai Choudhry · 2005

Diophantine Approximation · 2023

Reduction Theory of Binary Forms · 2016

Preface · 2015

Basic Finiteness Theorems · 2016

Algebraic Numbers and Integers · 2024

Waring's problem: the number <i>G</i>(<i>k</i>) · 2005

Prime Numbers Distribution Line Shcherbakov Aleksandr Gennadiyevich · 2020

Triangles in diophantine approximation Daniele Mundici · 2019

Quadratic Diophantine Inequalities D.Eric Freeman · 2001

Diophantine equations – Runge's Method · 2016

Algebraic independence of certain Mahler numbers Keijo Väänänen · 2016

On Drinfeld's representability theorem Arnaud Vanhaecke · 2026

Two determinant evaluations in Sun's conjectures involving Legendre symbols Yaoran Yang, Yutong Zhang · 2026

On the Goldbach problem with restricted primes Michael Harm · 2026

The inhomogeneous Khintchine Theorem in dimension two Demi Allen, Manuel Hauke-Treuer, Felipe A. Ramírez · 2026

Split-prime supercongruence at the mixed CM point (1/6, 1/3; 1) Alex Shvets · 2026

A note on the $q$-adic valuation of $σ_k(n)$ Olivier Bordellès · 2026

Decay of weighted cusp counts for congruence subgroups of $SL_2$ over number fields Shengyuan Zhao · 2026

Genus formulas for dormant modular curves and asymptotic behavior of their function fields Kohei Aoyama, Youhei Morita, Yasuhiro Wakabayashi · 2026

On some constancy of Hecke eigensystems for Drinfeld cuspforms of level $Γ_1(\mathfrak{n}\wp^r)$ Shin Hattori · 2026

Extensions of the Furstenberg-Sárközy theorem via the arithmetic level-$d$ inequality Carlo Francisco E. Adajar, Rishika Agrawal, Mukul Rai Choudhuri, Chian Yeong Chuah, Steve Fan, Swaroop Hegde, Andrew Lott, Krishnamohan Nandakumar, Nagendar Reddy Ponagandla · 2026

Evaluation of two determinants involving $q$-integers Zhi-Wei Sun · 2026

Boundary Value Problems on $p$-Adic Analytic Manifolds Patrick Erik Bradley · 2026

Factorization of Additive Polynomials and van der Geer--van der Vlugt curves in characteristic 2 Tetsushi Ito, Daichi Takeuchi, Takahiro Tsushima · 2026

- Linear Diophantine Equations · 2014

Summary · 2016

Algebraic numbers and density modulo 1 Roman Urban · 2008

Basic algebraic number theory · 2015

Tools from Diophantine approximation and transcendence theory · 2015

Algebraic numbers and irrationality measures · 2010

Class numbers with many prime factors Kalyan Chakraborty, Florian Luca, Anirban Mukhopadhyay · 2008

The Number of Prime Numbers and Twin Prime Numbers Is Infinite Wensheng Yin · 2025

Algebraic numbers, hyperbolicity, and density modulo one A. Gorodnik, S. Kadyrov · 2012

Diophantine Equations Manfred Schroeder · 2024

Lattice Points and Generalized Diophantine Conditions Alex Iosevich · 2001

Algebraic Independence of Transcendental Numbers: A Survey Michel Waldschmidt · 2000

Large values of shifted mixed character sums Néo Tardy · 2026

Graphs of Hecke operators in mixed ramification Rudrendra Kashyap, Vladyslav Zveryk · 2026

Fields where torsion forms decompose M. Archita, Karim Johannes Becher · 2026

n-ary elliptic groups, rings, and primes in arithmetic progressions Ilia Pirashvili · 2026

One-level densities of large even and odd orthogonal families of automorphic L-functions Vorrapan Chandee, Xiannan Li, Micah B. Milinovich · 2026

Gaps of Binary Numerical Semigroups and of Binary Inclusion-Exclusion Polynomials Gennady Bachman · 2026

Module Lattice Security (Part III): Structured CVP Distance on the Log-Unit Lattice Ming-Xing Luo · 2026

Improvements to Jacobian Arithmetic in Global Function Fields Vincent Macri, Michael Jacobson, Renate Scheidler · 2026

Counting solutions to the quadratic determinant equation Jonathan Chapman, Akshat Mudgal · 2026

Explicitly combing hedgehogs over fields of Stufe 4 Peter Müller · 2026

A Weyl-type theorem for Diophantine approximations driven by LCA groups and applications Aihua Fan · 2026

References · 2016

The Idea of Analytic Number Theory · 2024

Congruences for Fishburn numbers modulo prime powers Armin Straub · 2015

Additively unique sets of prime numbers Noah Lebowitz-Lockard · 2018

Differential Algebraic Methods in Analytic Number Theory: A Constructive Framework for Explicit Formulae and Prime Distribution shifa liu · 2025

Rethinking Number Theory, Prime Numbers as Finite Entities and the Topological Constraints on Division in a Real Number Line Budee U Zaman · 2023

Chebyshev estimates for Beurling generalized prime numbers. I Jasson Vindas · 2012

Componentwise height bounds for polynomial value-set lifting Henry Shin · 2026

Tautological modular forms of level two and degree two Fabien Cléry, Gerard van der Geer · 2026

Wieferich Primes and Monogenic Trinomials Lenny Jones · 2026

Distribution of Prime Numbers · 2025

Convergence of orbital integrals on unitary groups in positive characteristic Wansu Kim, Minju Park · 2026

A Generalized Closed Form of Ramanujan-Type Fourier Cosine Transform via Meijer's G-Function S. A. Dar, R. P. Paris · 2026

The Serre Derivatives and Zeros of Modular Forms Naoki Sugibayashi · 2026

An explicit Galois descent for multiple $t$-values of maximal height Steven Charlton, Michael E. Hoffman, Nobuo Sato · 2026

On algebraic approximations of certain algebraic numbers Pingzhi Yuan · 2003

Algebraic Numbers and Integers · 2024

Preface · 2016

Prime Ideals Revisited Ian Stewart, David Tall · 2025

Prime Numbers · 2024

Prime Numbers Satyabrota Kundu, Sypriyo Mazumder · 2021

On Inhomogeneous Diophantine Approximation and the Borweins’ Algorithm, II Takao Komatsu · 2002

On Maximal Prime Gaps Cheng-TIng Wang · 2026

Patterns on elliptic curves beyond Bremner's conjecture Natalia Garcia-Fritz, Hector Pasten · 2026

Sophie Germain, mathématicienne extraordinaire: A story stranger than fiction David Pengelley · 2026

The Rényi entropy of the order of a random permutation Adrian Beker · 2026

Bhargava’s Exponential Functions and Bernoulli Numbers Associated to the Set of Prime Numbers David Adam, Jean-Luc Chabert · 2023

Prime Numbers and Indian Contributions to Analytic Number Theory Amit Kumar Alok · 2026

Geometry of Numbers J. S. Chahal · 2021

On Vu's restricted box estimate in Waring's problem Christian Táfula · 2026

Solutions for Hecke Sum Questions of Banerjee and Bringmann George E. Andrews, Mohamed El Bachraoui · 2026

Real geometric transcendence for the Gamma function Arshay Sheth · 2026

Improved Ramsey bounds for generalized Schur equations Rafael Miyazaki, Eion Mulrenin, Cosmin Pohoata, Michael Zheng · 2026

Some Omega results for Dirichlet $L$-functions Qiyu Yang, Shengbo Zhao · 2026

Multiple integral representations of the Catalan's constant Emilio Gómez-Déniz, José María Sarabia · 2026

Refined obstructions to local-global principles for 0-cycles Francesca Balestrieri, Anouk Greven, Rachel Newton, Soumya Sankar, Katerina Santicola, Manoy Trip · 2026

Non-$R$-trivial proper projective similitudes in type $A_3\equiv D_3$ M. Archita, Karim Johannes Becher · 2026

Proof of a conjecture of Andrews and Bachraoui on a Hecke sum Koustav Banerjee, Kathrin Bringmann · 2026

Poisson approximation of random lattices Boaz Klartag · 2026

Reciprocals of Subsum Polynomials Cristina Ballantine, George Beck, Brooke Feigon, Kathrin Maurischat · 2026

$p$-adic Congruencens of Generalized Euler Numbers and Relations to Even Zeta Value Yuta Nishibuchi · 2026

A note on arithmetic progressions with restricted differences David Conlon, Jacob Fox, Huy Tuan Pham · 2026

Large values of shifted mixed character sums Néo Tardy · 2026

Graphs of Hecke operators in mixed ramification Rudrendra Kashyap, Vladyslav Zveryk · 2026

Fields where torsion forms decompose M. Archita, Karim Johannes Becher · 2026