6 papers
The Gauss periods and cyclotomic matrices involving Gauss sums over cyclic groups
Hai-Liang Wu, Li-Yuan Wang
In this paper, by using the arithmetic properties of the Gauss periods and character sums over cyclic groups, we study the cyclotomic matrix $$A_k(Ï)=\left[G_N(Ï^{ki+ki})\right]_…
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…
The Pell sequence and cyclotomic matrices involving squares over finite fields
Hai-Liang Wu, Li-Yuan Wang, He-Xia Ni
In this paper, by some arithmetic properties of the Pell sequence and some -adic tools, we study certain cyclotomic matrices involving squares over finite fields. For example, l…
Gaussian hypergeometric functions and cyclotomic matrices
Hai-Liang Wu, Li-Yuan Wang
Let be an odd prime power and let be the finite field with elements. Let be the group of all multiplicative characters…
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…
The Gross-Koblitz formula and almost circulant matrices related to Jacobi sums
Hai-Liang Wu, Li-Yuan Wang
In this paper, we mainly consider arithmetic properties of the cyclotomic matrix , where is an odd prime,…