2 citations · 3 across the 14 of their papers we have counts for
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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 $$A_k(χ)=\left[G_N(χ^{ki+ki})\right]_{0…
On -th cyclotomic field and cyclotomic matrices involving Jacobi sums
Hai-Liang Wu, Li-Yuan Wang, Hao Pan
Inspired by Weil's classical result on the zeta function of a projective Fermat curve defined over a finite field, in this paper, we investigate some arithmetic properties of the c…
The Pell sequence and cyclotomic matrices involving squares over finite fields
Hai-Liang Wu, Li-Yuan Wang, He-Xia Ni
In this paper, by some arithmetic properties of the Pell sequence and some -adic tools, we study certain cyclotomic matrices involving squares over finite fields. For example, l…
The Gross-Koblitz formula and almost circulant matrices related to Jacobi sums
Hai-Liang Wu, Li-Yuan Wang
In this paper, we mainly consider arithmetic properties of the cyclotomic matrix , where is an odd prime, $…
On a determinant involving linear combinations of Legendre symbols
Keqin Liu, Zhi-Wei Sun, Li-Yuan Wang
In this paper, we prove a conjecture of the second author by evaluating the determinant $$\det\left[x + \left(\frac{i-j}p\right) + \left(\frac ip\right)y + \left(\frac jp\right)z +…
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…