Results 21 to 30 of about 40 (36)

Differences between powers of a primitive root

International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 6, Page 325-331, 2002., 2002
We study the set of differences {gx − gy(modp) : 1 ≤ x, y ≤ N} where p is a large prime number, g is a primitive root (modp), and p2/3 < N < p.
Marian Vâjâitu, Alexandru Zaharescu
wiley   +1 more source

An asymptotic local–global theorem on heights of some Kleinian group orbits

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We prove an asymptotic local–global theorem on the heights of point orbits of thin subgroups of Bianchi groups in H3$\mathbb {H}^3$.
Xuanxuan Xiao, Xin Zhang
wiley   +1 more source

Character sum, reciprocity, and Voronoi formula

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3797-3823, December 2025.
Abstract We prove a novel four‐variable character sum identity that serves as a twisted, non‐Archimedean analog of Weber's integrals for Bessel functions. Using this identity and ideas from Venkatesh's thesis, we provide a short spectral proof of the Voronoi formulae for classical modular forms with character twists.
Chung‐Hang Kwan, Wing Hong Leung
wiley   +1 more source

Some New Identities Related to Dedekind Sums Modulo a Prime

Journal of Mathematics, Volume 2024, Issue 1, 2024.
The main purpose of this article is to use some identities of the classical Gauss sums, the properties of character sums, and Dedekind sums (modulo an odd prime) to study the computational problem of one‐kind mean values related to Dedekind sums and give some interesting identities for them.
Jiayuan Hu, Xiaogang Liu
wiley   +1 more source

A Conversion Formula for One Kind Fourth Power Mean of Kloosterman Sums and the Character Sums Module p

Journal of Mathematics, Volume 2024, Issue 1, 2024.
The primary contribution of this paper is to research one kind special Kloosterman sums using analytic method. We translate one kind fourth power mean of the Kloosterman sums into the character sums of one kind polynomials. It is possible to construct an exact formula for the fourth power mean of one kind Kloosterman sums by computing the character ...
Shushu Ning, Xuexia Wang, Ming-Sheng Liu
wiley   +1 more source

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On classical Kloosterman sums

Cryptography and Communications, 2019
V A Zinoviev, Zinoviev V A
exaly  

HYBRID MEAN VALUE OF THE GENERALIZED KLOOSTERMAN SUMS AND DIRICHLET CHARACTER OF POLYNOMIALS

Bulletin of the Korean Mathematical Society, 2013
Jingzhe Wang
exaly  

Gauss sums for symplectic groups over a finite field

Monatshefte Fur Mathematik, 1998
Dae San Kim, Kim Dae San
exaly  

Codes associated with special linear groups and power moments of multi-dimensional Kloosterman sums

Annali Di Matematica Pura Ed Applicata, 2010
Dae San Kim, Kim Dae San
exaly  

Bilinear forms with Kloosterman sums and applications

Annals of Mathematics, 2017
Emmanuel Kowalski, Philippe Michel, Will Sawin   +2 more
exaly