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Статьи по коду 511
351 публикаций

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On zero-sum problems of two new types Zhi-Wei Sun · 2026
Atoms in the Semigroup of Non-Negative Integer Matrices Lindsay Dever, Eva G. Goedhart, Gregory S. Heilbrunn, Tony W. H. Wong · 2026
Transformers Learn the Mestre-Nagao Heuristic Pranav Venkata Konda · 2026
Power and rank-weighted sums in dense finite Sidon sets Yuchen Ding · 2026
Rational 2-Cycles for $x^3+bx+a$ and the Elliptic Family $Y^2=X^3+4X^2+16t^2$ Sompong Chuysurichay, Sawian Jaidee, Chatchawan Panraksa, Teerapol Sukhonwimolmal · 2026
Arithmetic Properties Satisfied by a Recent Integer Partition Function of Dombos Robson da Silva, James A. Sellers · 2026
A combinatorial large sieve for Sidon sets, distances, and norm forms Ernie Croot, Junzhe Mao, Cosmin Pohoata, Adam Sheffer, Chi Hoi Yip · 2026
Spectral interpretation of Riemann zeta zeros Haakan Hedenmalm · 2026
Adelic line bundles over a Néron model Zhelun Chen · 2026
On $U_p$-congruences for meromorphic modular forms with supersingularity Kathrin Bringmann, Pavel Guerzhoy, Ben Kane, Michael Mertens, Larry Rolen · 2026
Secondary terms for first moments of Selmer groups of twists of elliptic curves over global function fields Sun Woo Park · 2026
Dual Affine Spiral Orbits on $\mathbb{Z}^2$ Generated by Paired Unit Squares Chuck Wrathall · 2026
Large values of quadratic Dirichlet $L$-functions of prime-related moduli Peng Gao · 2026
The Bateman-Horn conjecture on average for generalized von Mangoldt Functions Efthymios Sofos · 2026
A Beyond Endoscopy Derivation of the Functional Equation for the Symmetric-Square L-Function Taiwang Deng, Dongsheng Wu · 2026
Indivisibility of ray class groups of real quadratic fields Emmanuel Lecouturier, Christian Maire · 2026
An Asymmetric Formula for Interval Consonance and its Relation to Harmonic Coincidence David De Roure · 2026
Two $q$-congruences from Jackson's ${}_8φ_7$ summation and Andrews' ${}_4φ_3$ summation Ji-Cai Liu, Qing-Yuan Tao · 2026
The difference of the sums of odd and even parts of restricted partitions Kilian Rausch, Johann Stumpenhusen · 2026
Restricted partition functions and additive complements Yuchen Ding · 2026
Perturbed Polynomial Powers and Bourgain Entropy Obstructions for Khintchin Averages Zhuowen Guo, Shuhao Zhang · 2026
Recursions for Mock Theta Functions Matthew Ortiz, Martin Raum, Olav K. Richter · 2026
Multi-target hyperbolic sieves and elliptic trace obstructions Pantelimon Stănică, Erik Mulder, Markus Hittmeir · 2026
Ramanujan's and Lim's Identities and Harmonic Maass--Jacobi Forms Kathrin Bringmann, Rajat Gupta, Badri Vishal Pandey · 2026
Root Clusters and Multiclusters over Imperfect Hilbertian Fields Shubham Jaiswal · 2026
An AI Proof of 18-Variable Undecidability for Diophantine Equations over $\mathbb Z[i]$ Yuchen Ding, Junfeng Li · 2026
Splitting of Polynomial Families via Galois Theory Tianhao Wang · 2026
Effective Estimates for a Class of Farey Fraction Sums and Bounds for Mundici-Type Constants Anji Dong, Huy Xuan Nguyen, Vi Anh Nguyen, Alexandru Zaharescu · 2026
Semistable reduction of smooth quartics Max Schwegele, Kletus Stern, Stefan Wewers · 2026
Explicit local stable resolution of cusps Stefan Wewers · 2026
Validated numerics for the Gauss problem on continued fractions M. Pollicott · 2026
A counterexample to the near-quadratic Elekes--Rónyai expander conjecture over $\mathbb R$ Jihao Liu · 2026
Footnote to a theorem of Phagan on actions of a cyclic group Anurag Sahay · 2026
The Grothendieck-Katz Conjecture for privileged local systems Hélène Esnault, Michael Groechenig · 2026
On the classification of indecomposable Ekedahl-Oort strata in unitary Shimura varieties, and related Newton polygons Emerald Andrews, Deewang Bhamidipati, Maria Fox, Heidi Goodson, Steven R. Groen, Sandra Nair · 2026
The p-adic Cauchy Theorem and Overconvergent Period Sheaves Finn Wiersig · 2026
Lower bounds on expressions depending on the functions {\boldmath$\varphi(n)$}, {\boldmath$ψ(n)$} and {\boldmath$σ(n)$}, III S. I. Dimitrov · 2026
Proofs of two $q$-congruence conjectures of Guo Ji-Cai Liu, Qing-Yuan Tao · 2026
Almost perfect inhomogeneous powers in arithmetic progression Saša Novaković · 2026
Counting the number of $1_{n}$-preperiodic integral points of a discrete dynamical system with applications from arithmetic statistics, VII Brian Kintu · 2026
A Weil Sum Approach to Permutation Polynomials over Quadratic Extensions of Finite Fields Bidushi Sharma, Dhiren Kumar Basnet · 2026
Sum of parts in overpartitions and partitions without repeated odd parts Frank Garvan, Rishabh Sarma · 2026
On the Ekedahl sieve for the singular locus of the discriminant polynomial Gaurav Digambar Patil · 2026
The convergent stack Marco D'Addezio · 2026
Hilbert irreducibility for algebraic points Borys Kadets, Danny Neftin · 2026
Analogues over function fields · 2015
A Diophantine inequality · 2005
More on Diophantine Sextuples Andrej Dujella, Matija Kazalicki · 2017
Rankin--Selberg Subconvexity via Spectral Reciprocity Peter Humphries, Liyang Yang · 2026
Answer to a decomposition question on tori raised by Colliot-Thélène and Sansuc Anis Zidani · 2026
Multivariate Period Rings Rohit Pokhrel · 2026
Discrete Fourier Transform Approach to Cyclically Covering Subspaces of $\mathbb{F}^n_q$ Yangcheng Li, Pingzhi Yuan · 2026
Sphere Packings in Higher Dimension (after Boaz Klartag) Guillaume Aubrun · 2026
Some new modular Nahm sums of ranks 3 and 4 Zhineng Cao, Liuquan Wang · 2026
Weighted Recursions for the Smallest Parts Function Matthew Ortiz · 2026
Covering $\mathbb{F}_2^n$ with Hamming Balls Michael Jaber, Vinayak M. Kumar · 2026
Minkowski shapes of pure number fields Khai-Hoan Nguyen-Dang · 2026
On the sequence $\mathrm{gcd}(a^n-1,b^n-1)$ Khai-Hoan Nguyen-Dang · 2026
Class numbers of quadratic Diophantine equations Liang Sun · 2016
Algebraic and Transcendental Numbers · 2020
On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring Ryo Ishizuka, Léo Navarro Chafloque · 2026
Moduli of Supersingular Abelian Varieties in Dimensions $g\leq 5$ Michael Burger · 2026
Capparelli's partition theorem as part of an infinite hierarchy: Combinatorial and Weighted Words extensions of recent work Yazan Alamoudi, Krishnaswami Alladi · 2026
A note on a conjecture of Ng Andrew Pearce-Crump · 2026
A Tsang-range high-moment bound for $\operatorname{Im}\log L(\tfrac12+it,χ)$ under GRH Scott D. Hughes · 2026
Prime Quadruplets and Jump Conditions on Arithmetic Functions Himaghna Roy Choudhury, Shicheng Wei · 2026
On superspecial hyperelliptic curves of Rosenhain forms Ryo Ohashi · 2026
Unique decomposition of orders Gaurav Digambar Patil · 2026
Transcendence of simple geodesics on finite modular covers Christopher-Lloyd Simon · 2026
Zeta functions over curves F. Pellarin, with an appendix by G. H. Ferraro · 2026
The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Nikita Shulga · 2026
Algebraic Hodge generic points are dense Gregorio Baldi, Gal Binyamini, David Urbanik · 2026
Arithmetic exceptionality of generalized Chebyshev polynomials of the second kind Derya Acar, Metin Azmaz, Vural Cam, Ömer Küçüksakallı · 2026
Birkhoff genericity on affine subspaces in horospheres Nimish A. Shah, Pengyu Yang · 2026
A Divisor Parametrization for the Erdős--Straus Conjecture M. Bello-Hernández, M. Benito, E. Fernández · 2026
Weighted partitions with interval restrictions: exact formulas and a bivariate master identity George E. Andrews, Mohamed El Bachraoui, Aritram Dhar, Ankush Goswami, Runqiao Li · 2026
On the rank of hypergeometric sheaves on higher dimensional tori Antonio Rojas-León · 2026
Adjacent comparison bounds and extremal sets for Ruzsa numbers Yuchen Ding, Huixi Li, Junfeng Li, Wei Niu, Xiamiao Zhao · 2026
Digit Mixing under Polynomial Maps Chokri Manai · 2026
Murmurations in the Depth Aspect for Maass and Modular Forms Leonard Tomczak · 2026
On special perfect polynomials over $\mathbb{F}_2$ O. Rahavandrainy · 2026
Restriction estimates for toral eigenfunctions and lattice points in spherical regions Cheng Zhang, Zhifei Zhu · 2026
Fine-scale statistics for $\mathbb{Q}^n$ Gaurav Aggarwal, Anish Ghosh, Jens Marklof · 2026
Bertini theorems for Hilbert-Samuel multiplicity over finite fields Rahul Ajit, Matthew Bertucci · 2026
Power Integral Bases in Polynomial Compositions Aakash Choudhary, Supriya Pisolkar, Prabhakar Yadav · 2026
A note on large values of Dirichlet $L$-functions for characters of fixed order at $1/2<σ\leq 1$ Youness Lamzouri · 2026
Prime Numbers Sylvia Forman, Agnes M. Rash · 2014
Multi-scale properties of continued fraction sets Alex Rutar · 2026
Connection between the Riemann zeta-function and random matrices via hyperfunctions Masahiro Mine · 2026
On periods and Jacobians of Heisenberg curves Dimitrios Noulas · 2026
On the factorizations of integers via division algorithms for polynomials Guram Donadze, Adrian Vasiu · 2026
Recent Progress around Cohen-Lenstra Heuristics Jordan S. Ellenberg · 2026
An Elementary Analysis of the Prime Partition Function Asaf Cohen Antonir, Asaf Shapira · 2026
A Generalization of the Amdeberhan-Andrews-Ballantine Conjecture Rong Chen, Tianjian Xu · 2026
A note on partitions in the image of pre$_2$ Arnav Garg · 2026
Explicit generators of the space of modular forms Tianyu Ni, Ashley Song, Yanhui Su, Hui Xue, Amanda Yin · 2026
On the Schematic and Analytic Constructions of the Local Langlands Category Ian Gleason, Linus Hamann, Alexander B. Ivanov, João Lourenço, Konrad Zou · 2026
On maximal Dynkin friezes Robin Zhang · 2026
Twisted Moments of Rankin-Selberg $L$-functions in the Prime-Power Level Aspect Fatma Çiçek, Alia Hamieh · 2026
Exact output statistics of Icart's encoding in the exceptional \(j=0\) case David Kumallagov · 2026
Gaps in Multiplicative Sidon Sets II Wouter van Doorn, Quanyu Tang · 2026
Erdős-Kac theorems for discriminants of number fields Jack B. Miller · 2026
О ШКОЛЕ А. О. ГЕЛЬФОНДА В ТЕОРИИ ТРАНСЦЕНДЕНТНЫХ ЧИСЕЛ Нестеренко Юрий Валентинович · 2024
О МОДЕЛИ БЕСКОНЕЧНЫХ ДЕСЯТИЧНЫХ ДРОБЕЙ С ТОЧКИ ЗРЕНИЯ АКСИОМАТИЧЕСКОГО ПОСТРОЕНИЯ ТЕОРИИ ДЕЙСТВИТЕЛЬНЫХ ЧИСЕЛ Владислав Викторович Сушков · 2025
ОБ ИСПОЛЬЗОВАНИИ КОМПЬЮТЕРНЫХ ТЕХНОЛОГИЙ В ПРЕПОДАВАНИИ ТЕОРИИ ЧИСЕЛ БУДУЩИМ УЧИТЕЛЯМ МАТЕМАТИКИ Абрамович Сергей Михайлович · 2023
An Explicit Surjectivity Threshold for Digit Sums of Primes Jens Lehmann · 2026
Representations of positive integers by three almost-prime squares Yue-Feng She, Yu-Chen Sun, Guang-Liang Zhou · 2026
Correspondence of discrete series representations of $\mathrm{GSp}_{2n}$ and its inner form Kaito Masuzawa · 2026
Corrigendum to "Isomorphism classes of Drinfeld modules over finite fields" Valentijn Karemaker, Jeffrey Katen, Mihran Papikian · 2026
On $\mathbb J$-strata with Parahoric Stabilizers in Affine Deligne-Lusztig Varieties Ryosuke Shimada · 2026
Cassini's identity for k-bonacci numbers Harold R. Parks, Dean C. Wills · 2026
Planes in quadratic 4-space and associated shapes of lattices Menny Aka, Konstantin Andritsch, Andreas Wieser · 2026
Majorization and Gaussian-Mass Maximality for Construction-A Lattices from Binary Self-Dual Codes Scott Duke Kominers · 2026
Special Functions in Analytic Number Theory · 2025
No three algebraic conjugates of degree sixteen sum to zero Žygimantas Baronėnas, Paulius Drungilas, Jonas Jankauskas · 2026
Decomposition Theorem for Perfectoid Rings along General Ideals Ryo Ishizuka, Léo Navarro Chafloque · 2026
Stability of the smooth Casselman-Jacquet functor Kei Yuen Chan, Kaidi Wu, Jun Yu, Hongfeng Zhang · 2026
Arithmetic statistics of isogeny Selmer groups associated to hyperelliptic curves Martí Oller · 2026
On a Diophantine equation with prime numbers Sanhua Li · 2019
Diophantine equations of Pellian type Franz Halter-Koch · 2011
Applications of a formula of Maesaka-Seki-Watanabe type for multiple harmonic $q$-sums Yoshihiro Takeyama, Yuto Tsuruta · 2026
Universality of the cokernels of random $p$-adic matrices with inhomogeneously balanced columns Jungin Lee, Sungjin Park · 2026
On the unit equation $\varepsilon+δ=n$ in cubic fields Maleeha Khawaja, Samir Siksek · 2026
Integer points close to a transcendental curve: an algorithmic approach Nicolas Brisebarre, Guillaume Hanrot · 2026
The leading constant in Malle's conjecture Daniel Loughran, Tim Santens · 2026
Khintchine's Theorem for Symmetric matrices via Flows on the Space of Symplectic Lattices Minchang Kim · 2026
A finite analogue of the ring of algebraic numbers Julian Rosen · 2020
Fermat’s Last Theorem for Regular Prime Exponents Paulo Ribenboim · 2001
Glossary of Frequently Used Notation · 2016
Unit equations in several unknowns · 2015
Transcendence and measures via the refined Diophantine exponent Quang-Khai Nguyen · 2026
Moments of partition statistics, Bell polynomials and Eisenstein-type series Soon-Yi Kang, Byungchan Kim, Chanhee Lee · 2026
An Improvement of Konstantoulas' Density Constant Huixi Li, Zihan Zhang · 2026
Perfect powers among Jacobsthal numbers Paulius Virbalas · 2026
Cyclotomic factors of rational necklace functions Nguyen Cao Minh, Nguyen Vu Hoang Minh, Dung Nguyen, Tung T. Nguyen, Nguyen Duy Tan, Duong Tran · 2026
Analogues of the Lindelöf Hypothesis for the Barnes multiple zeta function and related problems Takashi Miyagawa · 2026
Finding the complement of an elliptic curve inside a Jacobian Andrea Gallese, Davide Lombardo, Francesco Naccarato, Umberto Zannier · 2026
Three-color van der Waerden numbers grow super-exponentially Jacob Fox, Zach Hunter · 2026
On cyclotomic matrices related to Kloosterman sums over finite fields Hai-Liang Wu · 2026
Hitting Arithmetic Progressions at the Square-Root Scale Samuel Korsky · 2026
Infinite Moments of Class Groups for Solvable Fields with a Normal Abelian Subgroup Weitong Wang · 2026
The 1/2-Conjecture for $q$-Binomial Coefficients with Fractional Index Guo-Niu Han, Huan Xiong · 2026
Prescribed realisation of longest runs in continued fractions Ying Wai Lee · 2026
Polylogarithmic Analogues of Euler's Constant Takumi Noda · 2026
On the $P(t)$-adic Littlewood conjecture in odd characteristics Li Lai, Johannes Sprang · 2026
Locating a shortest vector in certain $2$-dimensional lattices Guixian Zou · 2026
A note on uniform version of Littlewood inequality and Fibonacci numbers Nikolay Moshchevitin · 2026
A Note on Abelian Monogenic Trinomials Lenny Jones · 2026
Power Products in Elliptic Divisibility Sequences and Prime-Incidence Obstructions Dongyeon Kym · 2026
Integrality of Averages of Roots of Unity and Perfect Isometries Chatchawan Panraksa, Pornrat Ruengrot · 2026
The Bogomolov property for $p$-supercuspidal eigenforms Andrea Conti, Pietro Piras, Lea Terracini · 2026
Visible 2-torsion in the Tate-Shafarevich group of an elliptic curve Tom Fisher · 2026
On the asymptotic average diameter of blocks of uniformly distributed sequences and related results Sebastian Heintze, Wolfgang Trutschnig · 2026
Products involving the real parts of Jacobi sums and related cyclotomic matrices Hai-Liang Wu, Xiao-Han Ji · 2026
Asymptotic formulas for sums of elements from a multiplicative group Jan-Hendrik Evertse, Kálmán Győry, Lajos Hajdu, Florian Luca, László Remete · 2026
Bourgain's $L^2$ pointwise ergodic theorem over function fields Thái Hoàng Lê, Andrew Lott · 2026
Subsequence Sums in Permutations Collier Gaiser, Paul Horn · 2026
On a conjecture of Goldmakher Alexander P. Mangerel · 2026
Primes in Intervals, the <i>n</i>th Prime, and the <i>n</i>th Prime Gap · 2025
Inequalities between sums over prime numbers in progressions Emre Alkan · 2020
Tribonacci properties of identities, matrices, and determinants Takao Komatsu, Tengfei Shen · 2026
Valuation Separation for Coprime Lucas Products Dongyeon Kym · 2026
Denominators of algebraic numbers in a number field Mohamed Ayad, Abdelmejid Bayad, Omar Kihel · 2015
Brauer--Manin obstruction from failure of Kodaira vanishing in positive characteristic Fabio Bernasconi, Domenico Valloni · 2026
Transformation Formulae and Applications for Double Lambert Series Rong Chen, Tianjian Xu · 2026
Notes on congruence zeta functions via a Berkovich approach Yuto Yamada · 2026
Towards a generalized Maeda conjecture for modular forms with quadratic nebentypus Debargha Banerjee, Dhrubajyoti Das, Srijan Das, Tathagata Mandal, Sudipa Mondal · 2026
The V/L recursion for Macdonald's 7th Variation Schur polynomials Darij Grinberg · 2026
Saturation and No-Go Theorems for Scalar Poisson Certificates of Gaussian Mass Maximality Scott Duke Kominers · 2026
Iwasawa invariants of Bertolini--Darmon Theta Elements Abhishek, Jishnu Ray, Pronay Kumar Karmakar · 2026
Lift-independence problem in the $P$-adic Simpson correspondence for curves Xiangyu Pan, Jiahong Yu · 2026
Canonical extensions of $p$-adic shtukas on toroidal compactifications of Shimura varieties Shengkai Mao, Peihang Wu · 2026
A note on Azumaya algebras and one-forms Siqing Zhang · 2026
Diophantine Equations Gove Effinger, Gary L. Mullen · 2021
Ideals · 2010
Sets of large values of polynomial multi-correlation functions Vitaly Bergelson, Rigoberto Zelada · 2026
Cullen and Woodall numbers in Padovan and Perrin sequences Herbert Batte, Eric F. Bravo, Florian Luca · 2026
Distributions of Iwasawa $λ$-invariants of $\mathbf{Z}_p$-towers over supersingular isogeny graphs Taiga Adachi, Kosuke Mizuno, Ryosuke Murooka, Sohei Tateno · 2026
On modular forms of rational weight satisfying the canonical second-order linear modular differential equation Yuichi Sakai, Hiroyuki Tsutsumi · 2026
A unified proof of conjectures on the spaces of multiple $q$-zeta values Minoru Hirose, Takumi Maesaka, Taiki Watanabe · 2026
On the analytic continuation of the Riemann zeta function Paolo Valtancoli · 2026
Equidistribution of CM points and RM curves Erick Ross, Hui Xue · 2026
Ultra Kolyvagin systems and higher Fitting ideals of Iwasawa Selmer groups Alberto Angurel · 2026
Words for generalized Markov numbers Yasuaki Gyoda · 2026
A Continuum of Small-cap Decouplings and Exponential Sums for the Moment Curve in $\mathbb{R}^4$ Jacob Glidewell · 2026
РАСШИРЕНИЕ МОЩНОСТИ УРАВНЕНИЯ ПИФАГОРОВЫХ ТРОЕК Тихомиров Евгений Павлович, Васильев Андрей Викторович · 2023
МАТЕМАТИКА – ФУНДАМЕНТ НАУКИ И ТЕХНОЛОГИЙ Гурбанова М. Ш., Аразназарова О. Я. · 2025
ТЕОРИЯ ЧИСЕЛ В ОЛИМПИАДНЫХ ЗАДАЧАХ ПО МАТЕМАТИКЕ Семенова С. Ю., Раянова Д. Р., Солощенко М. Ю. · 2023
ПРИМЕНЕНИЕ ТЕОРИИ ЧИСЕЛ В КРИПТОГРАФИИ И ОБЕСПЕЧЕНИИ ИНФОРМАЦИОННОЙ БЕЗОПАСНОСТИ Атаев Нурмухаммет Нурмухаммедович, Атаева Оразгул Бегенчевна · 2025
Hilbert-90 quotient maps, torsion defects, and symmetric monodromy Henry Shin · 2026
Lubin-Tate representations over nontrivial finite Galois extensions of $\mathbb{Q}_{p}$ are not Aut-intrinsically Hodge-Tate Kaiji Kondo · 2026
Variational estimate for the family of discrete averages associated to simplices Siddhartha Samanta · 2026
The Frobenius problem for shifted square sequences starting with a multiple of 4 Kyunghwan Song · 2026
Top-dimensional rational cohomology of the congruence subgroup $Γ_{0,n}^+(p)$ Tatiana Abdelnaim · 2026
Ekedahl-Oort strata under natural embeddings of orthogonal and unitary Shimura varieties Yan Qijun, Zhang Chao · 2026
The Northcott Property for Composites of Number Fields of Bounded Degree Benjamín Castillo · 2026
Inhomogeneous Approximation by Sums of Roots Samuel Korsky · 2026
Structural properties and tilting correspondences of perfectoid towers Kazuki Hayashi · 2026
Additive and Diophantine Problems Involving Primes · 2024
Geometric Representation of Algebraic Numbers Ian Stewart, David Tall · 2025
The reverse Goldbach problem and a refined Zsiflaw--Legeis theorem Michael Harm, Daniel R. Johnston · 2026
Coset-refined trace statistics, nodal characters, and affine branches in cubic norm tori Henry Shin · 2026
A Uniform Random-Lattice Tail Bound for the SVP Kissing-Profile Parameter Yutong Zhang, Yaoran Yang · 2026
Closed geodesics in short intervals for random hyperbolic surfaces Zeev Rudnick · 2026
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
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- Linear Diophantine Equations · 2014
Summary · 2016
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Basic algebraic number theory · 2015
Tools from Diophantine approximation and transcendence theory · 2015
Algebraic numbers and irrationality measures · 2010
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Algebraic numbers, hyperbolicity, and density modulo one A. Gorodnik, S. Kadyrov · 2012
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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
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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
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Improvements to Jacobian Arithmetic in Global Function Fields Vincent Macri, Michael Jacobson, Renate Scheidler · 2026
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Rethinking Number Theory, Prime Numbers as Finite Entities and the Topological Constraints on Division in a Real Number Line Budee U Zaman · 2023
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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
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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