Cover Image

On cyclotomic matrices involving Gauss sums over finite fields

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Wu, Hai-Liang, Li, Jie, Wang, Li-Yuan, Yip, Chi Hoi
Format:	Preprint
Published:	2024
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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)

On cyclotomic matrices related to Kloosterman sums over finite fields
by: Wu, Hai-Liang
Published: (2026)

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

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

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

A strengthening of McConnel's theorem on permutations over finite fields
by: Yip, Chi Hoi
Published: (2024)

$F$-Diophantine sets over finite fields
by: Yip, Chi Hoi, et al.
Published: (2024)

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

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

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

Van Lint-MacWilliams' conjecture and maximum cliques in Cayley graphs over finite fields, II
by: Yip, Chi Hoi
Published: (2025)

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

Exact values and improved bounds on the clique number of cyclotomic graphs
by: Yip, Chi Hoi
Published: (2023)

Generalized additive bases and difference bases for Cartesian product of finite abelian groups
by: Li, Shuxing, 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)

Product representations of polynomials over finite fields
by: Lee, Hyunwoo, et al.
Published: (2026)

Additive decompositions of large multiplicative subgroups in finite fields
by: Yip, Chi Hoi
Published: (2023)

Extensions of the Carlitz-McConnel and Blokhuis-Sziklai theorems for unions of cyclotomic classes
by: Xiong, Maosheng, et al.
Published: (2026)

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

Explicit constructions of Diophantine tuples over finite fields
by: Kim, Seoyoung, et al.
Published: (2024)

Mutual position of two smooth quadrics over finite fields
by: Asgarli, Shamil, et al.
Published: (2024)

Paley-type matrices and $1$-factorizations of complete graphs
by: Yip, Chi Hoi, et al.
Published: (2026)

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

The subspace structure of maximum cliques in pseudo-Paley graphs from unions of cyclotomic classes
by: Asgarli, Shamil, et al.
Published: (2021)

Most plane curves over finite fields are not blocking
by: Asgarli, Shamil, et al.
Published: (2022)

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

Improved upper bounds on Diophantine tuples with the property $D(n)$
by: Yip, Chi Hoi
Published: (2024)

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)

$f$-Diophantine sets over finite fields via quasi-random hypergraphs from multivariate polynomials
by: Kim, Seoyoung, et al.
Published: (2025)

Intersective sets over abelian groups
by: Xu, Zixiang, et al.
Published: (2022)

Distribution of power residues over shifted subfields and maximal cliques in generalized Paley graphs
by: Martin, Greg, et al.
Published: (2024)

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

The compositional inverses of three classes of permutation polynomials over finite fields
by: Wu, Danyao, et al.
Published: (2024)

Permutation polynomials over finite fields by the local criterion
by: Wu, Danyao, et al.
Published: (2024)

Multiple Gauss sums
by: Liu, Jianya, et al.
Published: (2026)

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