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arXiv math.NT Number Theory

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arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

Anuj Jakhar, Ravi Kalwaniya, Shanta Laishram, Prabhakar Yadav: On The Index of Polynomial Compositions over Valued Fields arxiv.org/abs/2610.02111 arxiv.org/pdf/2610.02111 arxiv.org/html/2610.02111

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

Alberto Acosta Reche: On the prime geodesic theorem arxiv.org/abs/2610.01998 arxiv.org/pdf/2610.01998 arxiv.org/html/2610.01998

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

Tamar Bar-On: Infinite free pro-p products as absolute Galois groups arxiv.org/abs/2610.01966 arxiv.org/pdf/2610.01966 arxiv.org/html/2610.01966

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

Maria Corte-Real Santos, Gioella Lorenzon, Krijn Reijnders: Supersingularity and Superspeciality Verification of Abelian Surfaces arxiv.org/abs/2610.01924 arxiv.org/pdf/2610.01924 arxiv.org/html/2610.01924

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

Fedir Yudin: Square products of factorials and a conjecture of Erd\H{o}s and Graham arxiv.org/abs/2610.01899 arxiv.org/pdf/2610.01899 arxiv.org/html/2610.01899

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arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

Victor Ahlquist: Averages of Artin characters and their relation to the Davenport--Heilbronn theorem arxiv.org/abs/2610.01837 arxiv.org/pdf/2610.01837 arxiv.org/html/2610.01837

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arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

Thang Pham, Chun-Yen Shen, Dung The Tran, Boqing Xue: Quadratic distances in even dimensions over prime fields arxiv.org/abs/2610.01795 arxiv.org/pdf/2610.01795 arxiv.org/html/2610.01795

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arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

Kien Huu Nguyen: Uniform estimate of Lang-Weil type for counting points of schemes over finite rings arxiv.org/abs/2610.01748 arxiv.org/pdf/2610.01748 arxiv.org/html/2610.01748

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

\'Etienne Fouvry, Igor E. Shparlinski, Ping Xi: Tridimensional character sums with polynomial arguments and applications arxiv.org/abs/2610.01524 arxiv.org/pdf/2610.01524 arxiv.org/html/2610.01524

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

Meenu Sharma: A Prime-Power Dichotomy for Nekrasov--Okounkov Hook Lengths and $t$-Core Partitions arxiv.org/abs/2610.01422 arxiv.org/pdf/2610.01422 arxiv.org/html/2610.01422

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

John Fairfax-Ball: Sharp $p$-adic Extrema and Least Extremal Rows for Restricted Binomial GCDs arxiv.org/abs/2610.01328 arxiv.org/pdf/2610.01328 arxiv.org/html/2610.01328

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

Zhaochen Pei, Maoru Tan, Weiwen Zhang, Lilu Zhao: Translation invariant quadratic forms in $8$ variables and dense sets of primes arxiv.org/abs/2610.01091 arxiv.org/pdf/2610.01091 arxiv.org/html/2610.01091

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

Alexandre de Faveri, Mayank Pandey: The sixth moment of the Riemann zeta function arxiv.org/abs/2610.01035 arxiv.org/pdf/2610.01035 arxiv.org/html/2610.01035

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

Dandan Chen, Siyu Yin: Indefinite theta vectors and generalized Nahm sums of arbitrary rank arxiv.org/abs/2610.00967 arxiv.org/pdf/2610.00967 arxiv.org/html/2610.00967

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

Min Woong Ahn: Baire-category transfer between Engel and Pierce expansions arxiv.org/abs/2610.00946 arxiv.org/pdf/2610.00946 arxiv.org/html/2610.00946

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

Ajai Choudhry: Construction of parametrized families of general pseudo-bimagic and bimagic squares arxiv.org/abs/2610.00915 arxiv.org/pdf/2610.00915 arxiv.org/html/2610.00915

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

Alina Ostafe, Dat T. Tran: Powers in orbits and semigroups generated by polynomials arxiv.org/abs/2610.00893 arxiv.org/pdf/2610.00893 arxiv.org/html/2610.00893

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

Jihyuk Seo, Wolfgang Steiner: Transcendence of dendric beta-expansions with pure discrete spectrum arxiv.org/abs/2610.00856 arxiv.org/pdf/2610.00856 arxiv.org/html/2610.00856

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arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

Sun-Kai Leung: Multiplicative recurrence of Piatetski--Shapiro and nil-Bohr sets arxiv.org/abs/2610.00843 arxiv.org/pdf/2610.00843 arxiv.org/html/2610.00843

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

Max A. Alekseyev, Dmitry I. Khomovsky: Congruence Jumping in Polynomial Divisibility Systems: Arithmetic Structure and Solution Sets arxiv.org/abs/2610.00808 arxiv.org/pdf/2610.00808 arxiv.org/html/2610.00808

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

Mateo Matijasevick, Santiago Rodr\'iguez, Gregorio Salazar: Perfect squares in reciprocal-sum sequences and primes that are inert in quadratic fields arxiv.org/abs/2610.00765 arxiv.org/pdf/2610.00765 arxiv.org/html/2610.00765

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

John M. Campbell: On a problem on Ramanujan-Sato series of level 11 arxiv.org/abs/2610.00551 arxiv.org/pdf/2610.00551 arxiv.org/html/2610.00551

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

David Niedbala Giraudin: New bounds for the integer Chebyshev constant of [0,1] arxiv.org/abs/2610.00386 arxiv.org/pdf/2610.00386 arxiv.org/html/2610.00386

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arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

David Niedbala Giraudin: An explicit family of twists of the Carlitz module with unbounded analytic rank arxiv.org/abs/2610.00379 arxiv.org/pdf/2610.00379 arxiv.org/html/2610.00379

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

Xiaodong Zhuang, Nikos E. Mastorakis: Some Methods to Solve the Diophantine Equation ay^2=b(x^k-c^k) arxiv.org/abs/2610.00119 arxiv.org/pdf/2610.00119 arxiv.org/html/2610.00119

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arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

Shenghao Hua: PageRank on Lubotzky--Phillips--Sarnak graphs arxiv.org/abs/2610.00109 arxiv.org/pdf/2610.00109 arxiv.org/html/2610.00109

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

Hongfeng Wu: Two-Line Elimination and the Weierstrass Group Law in Arbitrary Characteristic arxiv.org/abs/2610.00028 arxiv.org/pdf/2610.00028 arxiv.org/html/2610.00028

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arXiv math.NT Number Theory @mathnt-bot.bsky.social · 02/10/2026

[2026-10-02 Fri (UTC), 27 new articles found for mathNT Number Theory]

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arXiv math.NT Number Theory @mathnt-bot.bsky.social · 01/10/2026

Zichao Lin, Mulun Yin: On Greenberg's conjecture for rational elliptic curves at Eisenstein primes arxiv.org/abs/2609.40282 arxiv.org/pdf/2609.40282 arxiv.org/html/2609.40282

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 01/10/2026

Ovidiu Costin, Gerald V. Dunne, Ali Saraeb: Resurgent rigidity of mock theta functions: uniqueness and natural boundary crossing arxiv.org/abs/2609.40276 arxiv.org/pdf/2609.40276 arxiv.org/html/2609.40276

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arXiv math.NT Number Theory @mathnt-bot.bsky.social · 01/10/2026

Shin-ichiro Seki: A proof of Hirose's duality conjecture arxiv.org/abs/2609.40213 arxiv.org/pdf/2609.40213 arxiv.org/html/2609.40213

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arXiv math.NT Number Theory @mathnt-bot.bsky.social · 01/10/2026

Nikola Ad\v{z}aga, Maarten Derickx, Timo Keller: Semi-stable models, local heights and quadratic Chabauty for $X_0(N)^*$ arxiv.org/abs/2609.40207 arxiv.org/pdf/2609.40207 arxiv.org/html/2609.40207

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 01/10/2026

Guy Blachar, Emmanuel Breuillard, Gady Kozma: Galois groups of random polynomials of large degree arxiv.org/abs/2609.40123 arxiv.org/pdf/2609.40123 arxiv.org/html/2609.40123

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 01/10/2026

S. J. Patterson: Rational quadrilaterals and tetrahedra -- the involutions of Kummer, Heegner and Regge arxiv.org/abs/2609.40101 arxiv.org/pdf/2609.40101 arxiv.org/html/2609.40101

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 01/10/2026

Nikolaos Diamantis, Larry Rolen: On a question of Jones on tracelike vectors, cusp forms, and von Neumann algebras arxiv.org/abs/2609.39904 arxiv.org/pdf/2609.39904 arxiv.org/html/2609.39904

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 01/10/2026

Thang Pham, Boqing Xue: Sharp spherical extension theorem in $\mathbb F_q^{2m}$ and applications arxiv.org/abs/2609.39876 arxiv.org/pdf/2609.39876 arxiv.org/html/2609.39876

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 01/10/2026

Lea Beneish, Boya Wen: Atkin--Lehner Quotients of Modular Curves at Primes of Bad Reduction arxiv.org/abs/2609.39725 arxiv.org/pdf/2609.39725 arxiv.org/html/2609.39725

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 01/10/2026

Andrew Pearce-Crump: The sixth moment of a degree two $L$-function of arbitrary level arxiv.org/abs/2609.39706 arxiv.org/pdf/2609.39706 arxiv.org/html/2609.39706

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 01/10/2026

Anakha V, Chiranjit Ray: Asymptotic and Arithmetic Aspects of Generalized Colored Overpartitions arxiv.org/abs/2609.39697 arxiv.org/pdf/2609.39697 arxiv.org/html/2609.39697

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 01/10/2026

Peikai Qi: On the Quotient of a Pseudo-null Module arxiv.org/abs/2609.39655 arxiv.org/pdf/2609.39655 arxiv.org/html/2609.39655

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 01/10/2026

Xenia Dimitrakopoulou, Rob Rockwood: Finite-slope p-adic L-functions for $\mathrm{GL}_{3}$ arxiv.org/abs/2609.39539 arxiv.org/pdf/2609.39539 arxiv.org/html/2609.39539

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 01/10/2026

Binggang Qu, Chengyuan Yang: Limit distribution of algebraic integral points on curves arxiv.org/abs/2609.39505 arxiv.org/pdf/2609.39505 arxiv.org/html/2609.39505

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 01/10/2026

Wouter van Doorn, John Erlbacher: The cardinality of a set containing the pairwise sums of four positive integers arxiv.org/abs/2609.39314 arxiv.org/pdf/2609.39314 arxiv.org/html/2609.39314

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arXiv math.NT Number Theory @mathnt-bot.bsky.social · 01/10/2026

Marcus Appleby, Steven T. Flammia, Gene S. Kopp: The twisted convolution identity and ghost $r$-SICs from finite quantum dilogarithms arxiv.org/abs/2609.39192 arxiv.org/pdf/2609.39192 arxiv.org/html/2609.39192

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 01/10/2026

Shi-Qiang Chen: On a problem of Nathanson related to strongly minimal asymptotic bases of order $h$ arxiv.org/abs/2609.38865 arxiv.org/pdf/2609.38865 arxiv.org/html/2609.38865

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 01/10/2026

Michail Karatarakis, Sumandeep Kaur: Monogenity of the irreducible factors of $(k,t)$-Fibonacci and $(k,t)$-Lucas polynomials arxiv.org/abs/2609.38844 arxiv.org/pdf/2609.38844 arxiv.org/html/2609.38844

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 01/10/2026

Ruichen Xu: Zeta elements for $p$-ordinary modular forms over imaginary quadratic fields and applications arxiv.org/abs/2609.38558 arxiv.org/pdf/2609.38558 arxiv.org/html/2609.38558

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 01/10/2026

Marija Bliznac Trebje\v{s}anin, Jelena Ple\v{s}tina: Euclidean Triangles Associated with Diophantine $D(4)$-triples arxiv.org/abs/2609.38544 arxiv.org/pdf/2609.38544 arxiv.org/html/2609.38544

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 01/10/2026

Artyom Radomskii: Large gaps between Romanoff numbers arxiv.org/abs/2609.38408 arxiv.org/pdf/2609.38408 arxiv.org/html/2609.38408

arXiv math.NT Number Theory @mathnt-bot.bsky.social · 01/10/2026

Junwu Wang: Strong Artin Conjecture for Generalized Octahedral Representations in $\mathrm{GL}_3$ arxiv.org/abs/2609.38231 arxiv.org/pdf/2609.38231 arxiv.org/html/2609.38231