Search Results - "Mathematics - Number Theory"

Shuffle product of desingularized multiple zeta functions at integer points

Authors: Nao Komiyama Takeshi Shinohara

Source: Journal of Algebra. 684:394-440

Subject Terms: Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), 0101 mathematics, 11M32, 16T05, 01 natural sciences

Access URL: http://arxiv.org/abs/2302.11444

Isolations of the sum of two squares from its proper subforms

Authors: Jangwon Ju Daejun Kim Kyoungmin Kim et al.

Source: Journal of Number Theory. 277:1-18

Subject Terms: Mathematics - Number Theory, 11E12, 11E20, 11E25, FOS: Mathematics, Number Theory (math.NT)

Access URL: http://arxiv.org/abs/2308.04720

Hecke relations for eta multipliers and congruences for higher-order smallest parts functions

Authors: Clayton Williams

Source: Journal of Number Theory. 277:325-343

Subject Terms: Mathematics - Number Theory, 11F37 (Primary) 11F33, 11P83 (Secondary), FOS: Mathematics, Number Theory (math.NT)

Access URL: http://arxiv.org/abs/2403.04909

Multiplicative generalised polynomial sequences

Authors: Jakub Konieczny

Source: Journal of Number Theory. 277:147-164

Subject Terms: Mathematics - Number Theory, FOS: Mathematics, Mathematics - Combinatorics, Number Theory (math.NT), Combinatorics (math.CO), Primary: 11J54. Secondary: 11N64, 37A44

Access URL: http://arxiv.org/abs/2403.17590

Hook length biases for self-conjugate partitions and partitions with distinct odd parts

Authors: Cossaboom, C.

Source: arXiv

Subject Terms: Mathematics - Number Theory, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Number Theory (math.NT)

File Description: application/pdf

Access URL: http://arxiv.org/abs/2406.18480
http://hdl.handle.net/21.11116/0000-000F-BD49-B
http://hdl.handle.net/21.11116/0000-000F-BD4B-9

Divisibility of the multiplicative order modulo monic irreducible polynomials over finite fields

Authors: Da Conceição, Joaquim Cera

Source: Journal of Number Theory. 277:105-123

Subject Terms: Mathematics - Number Theory, 11R44, 11T06, 11N37, 11R58, FOS: Mathematics, Number Theory (math.NT)

Access URL: http://arxiv.org/abs/2412.09107

Class numbers, congruent numbers and umbral moonshine

Authors: Miranda C.N. Cheng John F.R. Duncan Michael H. Mertens

Source: Journal of number theory 277, 201-235 (2025). doi:10.1016/j.jnt.2025.02.007

Subject Terms: High Energy Physics - Theory, Mathematics - Number Theory, High Energy Physics - Theory (hep-th), FOS: Mathematics, FOS: Physical sciences, Number Theory (math.NT), 11F22, 11F37, 11G05, 11G40, 20C34, Representation Theory (math.RT), Mathematics - Representation Theory

Access URL: http://arxiv.org/abs/2306.16414
https://publications.rwth-aachen.de/record/1012908

Models of CM elliptic curves with a prescribed ℓ-adic Galois image

Authors: Enrique González–Jiménez Álvaro Lozano-Robledo Benjamin York

Source: Journal of Number Theory. 277:19-62

Subject Terms: Mathematics - Number Theory, FOS: Mathematics, Primary: 11G05, Secondary: 11G15, 14H52, 14K22, Number Theory (math.NT)

Access URL: http://arxiv.org/abs/2408.04159

Rational deformations of the set of multiple zeta-star values

Authors: Li, Jiangtao

Source: Journal of Number Theory. 276:23-56

Subject Terms: Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT)

Access URL: http://arxiv.org/abs/2309.10259

Cyclotomic primes

Authors: Pomerance, Carl

Source: Journal of Number Theory. 276:198-208

Subject Terms: Mathematics - Number Theory, 11N32, 11N25, FOS: Mathematics, Number Theory (math.NT)

Access URL: http://arxiv.org/abs/2411.04213

Effectivity for existence of rational points is undecidable

Authors: Natalia Garcia-Fritz Hector Pasten Xavier Vidaux

Source: Journal of Number Theory. 276:81-97

Subject Terms: Mathematics - Number Theory, FOS: Mathematics, Mathematics - Logic, Number Theory (math.NT), Logic (math.LO), Primary: 11U05, Secondary: 11C08, 11G50

Access URL: http://arxiv.org/abs/2311.01958

On the largest singular vector of the Redheffer matrix

Authors: François Clément Stefan Steinerberger

Source: Linear Algebra and its Applications. 725:96-114

Subject Terms: Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT)

Access URL: http://arxiv.org/abs/2502.09489

Addition theorems in partially ordered groups

Authors: Melvyn B. Nathanson

Source: Journal of Algebra. 681:46-61

Subject Terms: Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), Group Theory (math.GR), 05E16, 06A17, 06F05, 06F15, 06F20, 11B05, 11B13, 11B75, 11P21, 11P70, Mathematics - Group Theory

Access URL: http://arxiv.org/abs/2409.16233

Quadratic twists of genus one curves

Authors: Lukas Novak

Source: Journal of Number Theory. 276:1-22

Subject Terms: Mathematics - Number Theory

Access URL: http://arxiv.org/abs/2401.09626

Eventual tightness of projective dimension growth bounds: Quadratic in the degree

Authors: Cluckers, Raf Glazer, Itay

Contributors: Cluckers, Raf Glazer, Itay

Source: Journal of Number Theory. 276:72-80

Subject Terms: Tight bounds, Science & Technology, Mathematics - Number Theory, Diophantine equations, General Mathematics, [MATH] Mathematics [math], RATIONAL-POINTS, 0101 Pure Mathematics, Mathematics - Algebraic Geometry, Physical Sciences, 4904 Pure mathematics, FOS: Mathematics, Number Theory (math.NT), Dimension growth conjecture, Rational points of bounded height, Determinant method, Algebraic Geometry (math.AG), Mathematics

Access URL: http://arxiv.org/abs/2409.08776

Consecutive Piatetski-Shapiro primes based on the Hardy-Littlewood conjecture

Authors: Guo, Victor Z. Yi, Yuan

Source: Journal of Number Theory. 276:286-314

Subject Terms: Mathematics - Number Theory, 0103 physical sciences, FOS: Mathematics, Number Theory (math.NT), 0101 mathematics, 01 natural sciences

Access URL: http://arxiv.org/abs/2202.06286

Class fields and form class groups for solving certain quadratic Diophantine equations

Authors: Ho Yun Jung Ja Kyung Koo Dong Hwa Shin et al.

Source: Journal of Number Theory. 275:1-34

Subject Terms: Mathematics - Number Theory, Primary 11R37, Secondary 11E12, 11R65, FOS: Mathematics, Number Theory (math.NT)

Access URL: http://arxiv.org/abs/2308.11250

The Mahler measure of a family of polynomials with arbitrarily many variables

Authors: Siva Sankar Nair

Source: Journal of Number Theory. 275:214-272

Subject Terms: PV-numbers and generalizations, other special algebraic numbers, Mahler measure, \(L\)-values, Mathematics - Number Theory, 11R06 (Primary) 11M06, 11G55 (Secondary), \(\zeta (s)\) and \(L(s, \chi)\), FOS: Mathematics, Number Theory (math.NT), polylogarithms, Polylogarithms and relations with \(K\)-theory, zeta values

File Description: application/xml

Access URL: http://arxiv.org/abs/2309.16966
https://zbmath.org/8025842
https://doi.org/10.1016/j.jnt.2024.11.011

Portraits of quadratic rational maps with a small critical cycle

Authors: Tyler Dunaisky David Krumm

Source: Journal of Number Theory. 275:135-159

Subject Terms: Mathematics - Number Theory, FOS: Mathematics, Dynamical Systems (math.DS), Number Theory (math.NT), Mathematics - Dynamical Systems, 37P05, 11G30

Access URL: http://arxiv.org/abs/2404.00731

A reformulation of the conjecture of Prasad and Takloo-Bighash

Authors: Miyu Suzuki

Source: Journal of Algebra. 680:174-204

Subject Terms: Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), Representation Theory (math.RT), Mathematics - Representation Theory

Access URL: http://arxiv.org/abs/2312.16393