Cover Image

On finite field analogues of determinants involving the Beta function

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Wu, Hai-Liang, Wang, Li-Yuan, Pan, Hao
Format:	Preprint
Published:	2023
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 involving Gauss sums over finite fields
by: Wu, Hai-Liang, et al.
Published: (2024)

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

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

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

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

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

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

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

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

An analogue of Girstmair's formula in function fields
by: Shiomi, Daisuke
Published: (2024)

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)

A number field analogue of the Grothendieck conjecture for curves over finite fields
by: Ozaki, Manabu
Published: (2025)

Ultra-Galois theory and an analogue of the Kronecker--Weber theorem for rational function fields over ultra-finite fields
by: Nguyen, Dong Quan Ngoc
Published: (2024)

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

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

On a polynomial involving roots of unity and its applications
by: Wu, Hai-Liang, et al.
Published: (2020)

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

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

Solutions to some sign change problems on the functions involving sums of divisors
by: Ding, Yuchen, et al.
Published: (2024)

A function field analogue of Ligozat's theorem for Drinfeld modular units
by: Ho, Sheng-Yang Kevin
Published: (2026)

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

An analogue of a conjecture of Rasmussen and Tamagawa for abelian varieties over function fields
by: Melistas, Mentzelos
Published: (2023)

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

On the almost universality of $\lfloor x^2/a\rfloor+\lfloor y^2/b\rfloor+\lfloor z^2/c\rfloor$
by: Wu, Hai-Liang, et al.
Published: (2018)

On Euler's totient function of polynomials over finite fields
by: Li, Xiumei, et al.
Published: (2024)

Note on a sum involving the divisor function
by: Wu, Liuying
Published: (2025)

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

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

On finite analogues of Dobiński's formula and of Euler's constant via Gregory polynomials
by: Matsusaka, Toshiki, et al.
Published: (2026)

New optimal function field towers over finite fields of quartic power
by: Hu, Chuangqiang, et al.
Published: (2025)

Inequalities involving arithmetic functions
by: Dimitrov, S. I.
Published: (2024)

Symmetry of hypergeometric functions over finite fields and geometric interpretation
by: Nakagawa, Akio
Published: (2025)

On certain determinants and the square root of some determinants involving Legendre Symbols
by: Ren, Chen-kai, et al.
Published: (2024)

The restricted sumsets in finite abelian groups
by: Du, Shanshan, et al.
Published: (2024)

A logarithmic analogue of Alladi's formula
by: Wang, Biao
Published: (2025)

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

On covering systems of polynomial rings over finite fields
by: Li, Huixi, et al.
Published: (2023)

Inequalities involving the primorial counting function
by: Axler, Christian
Published: (2024)