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Number Theory

Authors and titles for recent submissions

[ total of 54 entries: 1-25 | 26-50 | 51-54 ]
[ showing 25 entries per page: fewer | more | all ]

Fri, 3 May 2024

[1]  arXiv:2405.01530 [pdf, ps, other]
Title: Representation functions with prescribed rates of growth
Authors: Christian Táfula
Comments: 23 pages
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[2]  arXiv:2405.01512 [pdf, ps, other]
Title: Euler Products at the Centre and Applications to Chebyshev's Bias
Authors: Arshay Sheth
Comments: 17 pages, comments welcome!
Subjects: Number Theory (math.NT)
[3]  arXiv:2405.01429 [pdf, other]
Title: Co-rank $1$ Arithmetic Siegel--Weil IV: Analytic local-to-global
Authors: Ryan C. Chen
Comments: 69 pages
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG); Representation Theory (math.RT)
[4]  arXiv:2405.01428 [pdf, other]
Title: Co-rank $1$ Arithmetic Siegel--Weil III: Geometric local-to-global
Authors: Ryan C. Chen
Comments: 67 pages
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG); Representation Theory (math.RT)
[5]  arXiv:2405.01427 [pdf, other]
Title: Co-rank $1$ Arithmetic Siegel--Weil II: Local Archimedean
Authors: Ryan C. Chen
Comments: 29 pages
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG); Representation Theory (math.RT)
[6]  arXiv:2405.01426 [pdf, other]
Title: Co-rank $1$ Arithmetic Siegel--Weil I: Local non-Archimedean
Authors: Ryan C. Chen
Comments: 111 pages
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG); Representation Theory (math.RT)
[7]  arXiv:2405.01414 [pdf, ps, other]
Title: Mass equidistribution for Poincaré series of large index
Authors: Noam Kimmel
Subjects: Number Theory (math.NT)
[8]  arXiv:2405.01278 [pdf, ps, other]
Title: Generalized cyclotomic polynomials associated with regular systems of divisors and arbitrary sets of positive integers
Authors: László Tóth
Comments: 20 pages
Subjects: Number Theory (math.NT)
[9]  arXiv:2405.01219 [pdf, ps, other]
Title: Special values of Green's functions on hyperbolic $3$-space
Authors: Sebastián Herrero, Özlem Imamoglu, Anna-Maria von Pippich, Markus Schwagenscheidt
Subjects: Number Theory (math.NT)
[10]  arXiv:2405.01184 [pdf, other]
Title: On the Zeros of the Miller basis of Cusp Forms
Authors: Roei Raveh
Subjects: Number Theory (math.NT)
[11]  arXiv:2405.01056 [pdf, ps, other]
Title: Large Sieve Inequalities for periods of Maass forms
Authors: Dimitrios Lekkas, Marios Voskou
Comments: 20 pages, comments welcome!
Subjects: Number Theory (math.NT)
[12]  arXiv:2405.00996 [pdf, ps, other]
Title: Joint value distribution of Hecke--Maass forms
Authors: Shenghao Hua, Bingrong Huang, Liangxun Li
Comments: 22 pages. Comments welcome
Subjects: Number Theory (math.NT)
[13]  arXiv:2405.00868 [pdf, ps, other]
Title: The Furstenberg-Sárközy theorem for polynomials in one or more prime variables
Authors: John R. Doyle, Alex Rice
Comments: 22 pages. arXiv admin note: text overlap with arXiv:2006.15400
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[14]  arXiv:2405.01399 (cross-list from math.LO) [pdf, ps, other]
Title: Algebraic types in Zilber's exponential field
Authors: Vahagn Aslanyan, Jonathan Kirby
Subjects: Logic (math.LO); Number Theory (math.NT)
[15]  arXiv:2405.01282 (cross-list from math.AG) [pdf, ps, other]
Title: Oort's conjecture and automorphisms of supersingular curves of genus four
Authors: Dušan Dragutinović
Comments: 13 pages
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)
[16]  arXiv:2405.00916 (cross-list from math.RT) [pdf, ps, other]
Title: Finite generation properties of the pro-$p$ Iwahori-Hecke $\operatorname{Ext}$-algebra
Authors: Emanuele Bodon
Comments: 86 pages, comments welcome
Subjects: Representation Theory (math.RT); Number Theory (math.NT)

Thu, 2 May 2024

[17]  arXiv:2405.00658 [pdf, ps, other]
Title: A Note on Large Sums of Divisor-Bounded Multiplicative Functions
Authors: Claire Frechette, Mathilde Gerbelli-Gauthier, Alia Hamieh, Naomi Tanabe
Comments: 16 pages, project begun at Women in Numbers 6
Subjects: Number Theory (math.NT)
[18]  arXiv:2405.00544 [pdf, ps, other]
Title: Large sums of high order characters II
Authors: Alexander P. Mangerel, Yichen You
Comments: 32 pages, comments welcome
Subjects: Number Theory (math.NT)
[19]  arXiv:2405.00274 [pdf, ps, other]
Title: Large Values of Newform Dedekind Sums
Authors: Georgia Corbett, Matthew P. Young
Comments: 9 pages
Subjects: Number Theory (math.NT)
[20]  arXiv:2405.00270 [pdf, ps, other]
Title: Base change and Iwasawa Main Conjectures for ${\rm GL}_2$
Authors: Ashay Burungale, Francesc Castella, Christopher Skinner
Subjects: Number Theory (math.NT)
[21]  arXiv:2405.00605 (cross-list from math.DS) [pdf, ps, other]
Title: Preperiodic points of polynomial dynamical systems over finite fields
Authors: Aaron Andersen, Derek Garton
Comments: 9 pages
Subjects: Dynamical Systems (math.DS); Number Theory (math.NT)
[22]  arXiv:2405.00063 (cross-list from math.CO) [pdf, ps, other]
Title: A bijection proof of Andrews--Merca integer partition theorem
Authors: Ji-Cai Liu
Comments: 4 pages
Subjects: Combinatorics (math.CO); Number Theory (math.NT)

Wed, 1 May 2024 (showing first 3 of 9 entries)

[23]  arXiv:2404.19731 [pdf, ps, other]
Title: Arithmetic properties of an analogue of $t$-core partitions
Authors: Pranjal Talukdar
Comments: To appear in Bulletin of the Australian Mathematical Society
Subjects: Number Theory (math.NT)
[24]  arXiv:2404.19647 [pdf, ps, other]
Title: Character Sums and the Riemann Hypothesis
Authors: Brian Conrey
Subjects: Number Theory (math.NT)
[25]  arXiv:2404.19603 [pdf, ps, other]
Title: Log prismatic $F$-crystals and purity
Authors: Heng Du, Tong Liu, Yong Suk Moon, Koji Shimizu
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)
[ total of 54 entries: 1-25 | 26-50 | 51-54 ]
[ showing 25 entries per page: fewer | more | all ]

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