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Number Theory

Authors and titles for recent submissions

[ total of 53 entries: 1-25 | 26-50 | 51-53 ]
[ showing 25 entries per page: fewer | more | all ]

Thu, 2 May 2024

[1]  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)
[2]  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)
[3]  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)
[4]  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)
[5]  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)
[6]  arXiv:2405.00063 (cross-list from math.CO) [pdf, ps, other]
Title: A bijection proof of Andrews--Merca integer partiton theorem
Authors: Ji-Cai Liu
Comments: 4 pages
Subjects: Combinatorics (math.CO); Number Theory (math.NT)

Wed, 1 May 2024

[7]  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)
[8]  arXiv:2404.19647 [pdf, ps, other]
Title: Character Sums and the Riemann Hypothesis
Authors: Brian Conrey
Subjects: Number Theory (math.NT)
[9]  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)
[10]  arXiv:2404.19461 [pdf, ps, other]
Title: Mills' constant is irrational
Authors: Kota Saito
Comments: 11 pages
Subjects: Number Theory (math.NT)
[11]  arXiv:2404.19332 [pdf, ps, other]
Title: Lower bounds on expressions dependent on functions $\varphi(n)$, $ψ(n)$ and $σ(n)$, II
Authors: S. I. Dimitrov
Subjects: Number Theory (math.NT)
[12]  arXiv:2404.18985 [pdf, other]
Title: The Distribution of Lattices Arising From Orders In Low Degree Number Fields
Authors: Sameera Vemulapalli
Subjects: Number Theory (math.NT)
[13]  arXiv:2404.18967 [pdf, ps, other]
Title: On the Boston's Unramified Fontaine-Mazur Conjecture
Authors: Yufan Luo
Comments: 44 pages
Subjects: Number Theory (math.NT); Group Theory (math.GR)
[14]  arXiv:2404.19186 (cross-list from cs.IT) [pdf, ps, other]
Title: The Mathematical Foundation of Post-Quantum Cryptography
Authors: Chuanming Zong
Comments: 23 pages
Subjects: Information Theory (cs.IT); Cryptography and Security (cs.CR); Metric Geometry (math.MG); Number Theory (math.NT)
[15]  arXiv:2404.19150 (cross-list from math.AG) [pdf, ps, other]
Title: Boundedness of the p-primary torsion of the Brauer group of products of varieties
Authors: Alexei N. Skorobogatov
Comments: 20 pages, contains an appendix by Alexander Petrov
Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)

Tue, 30 Apr 2024 (showing first 10 of 13 entries)

[16]  arXiv:2404.18855 [pdf, ps, other]
Title: Exceptional sets to Shallit's law of leap years in Pierce expansions
Authors: Min Woong Ahn
Comments: 19 pages
Subjects: Number Theory (math.NT)
[17]  arXiv:2404.18853 [pdf, ps, other]
Title: Continuity of the continued fraction mapping revisited
Authors: Min Woong Ahn
Comments: 11 pages
Subjects: Number Theory (math.NT); Classical Analysis and ODEs (math.CA)
[18]  arXiv:2404.18725 [pdf, ps, other]
Title: Binary forms with the same value set III. The case of ${\bf D}_3$ and ${\bf D_6}$
Authors: Étienne Fouvry, Peter Koymans
Subjects: Number Theory (math.NT)
[19]  arXiv:2404.18711 [pdf, other]
Title: The Beurling-Malliavin density, the Polya density and their connection
Authors: Rita Giuliano, Georges Grekos, Ladislav Misik
Comments: 20 pages
Subjects: Number Theory (math.NT)
[20]  arXiv:2404.18642 [pdf, ps, other]
Title: On a conjecture of Levesque and Waldschmidt II
Authors: Tobias Hilgart, Volker Ziegler
Subjects: Number Theory (math.NT)
[21]  arXiv:2404.18281 [pdf, ps, other]
Title: Relations of multiple $\tilde{T}$-values involving the total numbers of certain permutations
Authors: Ryota Umezawa
Comments: 25 pages
Subjects: Number Theory (math.NT); Combinatorics (math.CO)
[22]  arXiv:2404.17921 [pdf, ps, other]
Title: Monogenic Even Octic Polynomials and Their Galois Groups
Authors: Lenny Jones
Subjects: Number Theory (math.NT)
[23]  arXiv:2404.17869 [pdf, ps, other]
Title: Monogenic Cyclic Quartic Trinomials
Authors: Lenny Jones
Subjects: Number Theory (math.NT)
[24]  arXiv:2404.17743 [pdf, ps, other]
Title: Fourier Coefficients and Algebraic Cusp Forms on $\mathrm{U}(2,n)$
Authors: Anton Hilado, Finn McGlade, Pan Yan
Comments: 27 pages, comments welcome
Subjects: Number Theory (math.NT); Representation Theory (math.RT)
[25]  arXiv:2404.17678 [pdf, ps, other]
Title: Splitting Hypergeometric Functions over Roots of Unity
Authors: Dermot McCarthy, Mohit Tripathi
Subjects: Number Theory (math.NT); Classical Analysis and ODEs (math.CA)
[ total of 53 entries: 1-25 | 26-50 | 51-53 ]
[ showing 25 entries per page: fewer | more | all ]

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