Cover Image

On cyclotomic matrices related to Kloosterman sums over finite fields

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Wu, Hai-Liang
Format:	Preprint
Published:	2026
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On cyclotomic matrices involving Gauss sums over finite fields
by: Wu, Hai-Liang, et al.
Published: (2024)

On new identities of Jacobi sums and related cyclotomic matrices
by: Wu, Hai-Liang, et al.
Published: (2025)

On $p$-th cyclotomic field and cyclotomic matrices involving Jacobi sums
by: Wu, Hai-Liang, et al.
Published: (2025)

The Pell sequence and cyclotomic matrices involving squares over finite fields
by: Wu, Hai-Liang, et al.
Published: (2025)

Products involving the real parts of Jacobi sums and related cyclotomic matrices
by: Wu, Hai-Liang, et al.
Published: (2026)

Trinomial coefficients and related matrices over finite fields
by: She, Yue-Feng, et al.
Published: (2022)

Gaussian hypergeometric functions and cyclotomic matrices
by: Wu, Hai-Liang, et al.
Published: (2024)

Equidistribution of Kloosterman sums over function fields
by: Fu, Lei, et al.
Published: (2024)

Cyclotomic matrices and hypergeometric functions over finite fields
by: Wu, Hai-Liang, et al.
Published: (2021)

On generalized Legendre matrices involving roots of unity over finite fields
by: Wei, Ning-Liu, et al.
Published: (2023)

The Gross-Koblitz formula and almost circulant matrices related to Jacobi sums
by: Wu, Hai-Liang, et al.
Published: (2024)

Matrix Kloosterman sums
by: Erdélyi, Márton, et al.
Published: (2021)

Modular invariants for real quadratic fields and Kloosterman sums
by: Andersen, Nickolas, et al.
Published: (2018)

Sums of Kloosterman sums over square-free and smooth integers
by: Shao, Xuancheng, et al.
Published: (2024)

A conjecture of Zhi-Wei Sun on matrices concerning multiplicative subgroups of finite fields
by: Li, Jie, et al.
Published: (2024)

The equidistribution of Elliptic Dedekind sums and generalized Selberg-Kloosterman sums
by: Klinger-Logan, Kim, et al.
Published: (2024)

Matrix Kloosterman sums modulo prime powers
by: Erdélyi, Márton, et al.
Published: (2022)

Elliptic curves over $\mathbb{F}_p$ and determinants of Legendre matrices
by: Wu, Hai-Liang
Published: (2020)

$SL_4$-Kloosterman sum via the Bruhat decomposition
by: Osonoe, Suzuho, et al.
Published: (2025)

On the cyclotomic field $\mathbb{Q}(e^{2π{\bf i}/p})$ and Zhi-Wei Sun's conjecture on $\det M_p$
by: Wang, Li-Yuan, et al.
Published: (2024)

Some Kummer extensions over maximal cyclotomic fields, a finiteness theorem of Ribet and TKND-AVKF fields
by: Murotani, Takahiro, et al.
Published: (2025)

Equidistribution of high traces of random matrices over finite fields and cancellation in character sums of high conductor
by: Gorodetsky, Ofir, et al.
Published: (2023)

Traces of powers of matrices over finite fields
by: Gorodetsky, Ofir, et al.
Published: (2019)

Fourth power moment of twisted Kloosterman sum and Hurwitz class numbers
by: Saikia, Neelam
Published: (2024)

The exotic inverted Kloosterman sum
by: Fu, Lei, et al.
Published: (2024)

Kloosterman sums on orthogonal groups
by: Mujdei, Catinca
Published: (2024)

Dynamics of multiplicative groups over fields and Folner-Kloosterman sums
by: Björklund, Michael, et al.
Published: (2025)

Norm-trace and Kloosterman sums in finite semi-simple algebras
by: Wan, Daqing
Published: (2026)

On algebraic degrees of inverted Kloosterman sums
by: Lin, Xin, et al.
Published: (2024)

On additive decompositions of primitive elements in finite fields
by: Wu, Hai-Liang, et al.
Published: (2022)

Bilinear Kloosterman sums in function fields and the distribution of irreducible polynomials
by: Bagshaw, Christian
Published: (2024)

Upper bounds for analytic ranks of elliptic curves over cyclotomic fields
by: Dasgupta, Agniva, et al.
Published: (2025)

On finite field analogues of determinants involving the Beta function
by: Wu, Hai-Liang, et al.
Published: (2023)

Jacobsthal sums and permutations of biquadratic residues
by: Wu, Hai-Liang, et al.
Published: (2020)

On sumsets involving $k$th powers of finite fields
by: Wu, Hai-Liang, et al.
Published: (2023)

Universality of rational canonical form for random matrices over a finite field
by: Shen, Jiahe
Published: (2025)

Triple sums of Kloosterman sums and the discrepancy of modular inverses
by: Blomer, Valentin, et al.
Published: (2024)

Generalized Fermat equation over cyclotomic $\mathbb{Z}_l$-extensions of totally real fields
by: Sahoo, Satyabrat
Published: (2026)

Even better sums of squares over quintic and cyclotomic fields
by: Kala, Vítězslav, et al.
Published: (2024)

Quadratic residues and related permutations
by: Wu, Hai-Liang
Published: (2019)