3 papers
math.NT2026
On new identities of Jacobi sums and related cyclotomic matrices
Hai-Liang Wu, Hao Pan
In this paper, using some arithmetic properties of Jacobi sums, we investigate some products involving Jacobi sums and reveal the connections between these products and certain cyc…
math.NT2026
On -th cyclotomic field and cyclotomic matrices involving Jacobi sums
Hai-Liang Wu, Li-Yuan Wang, Hao Pan
Inspired by Weil's classical result on the zeta function of projective Fermat curve defined over a finite field, in this paper, we investigate some arithmetic properties of the cyc…
math.NT2025
On finite field analogues of determinants involving the Beta function
Hai-Liang Wu, Li-Yuan Wang, Hao Pan
Motivated by the works of L. Carlitz, R. Chapman and Z.-W. Sun on cyclotomic matrices, in this paper, we investigate certain cyclotomic matrices concerning the Jacobi sums over fin…