13 citations · 26 across the 46 of their papers we have counts for
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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, $…
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…
A conjecture of Zhi-Wei Sun on matrices concerning multiplicative subgroups of finite fields
Jie Li, Hai-Liang Wu
Motivated by the recent work of Zhi-Wei Sun on determinants involving the Legendre symbol, in this paper, we study some matrices concerning subgroups of finite fields. For example,…
On a generalization of R. Chapman's "evil determinant"
Li-Yuan Wang, Hai-Liang Wu, He-Xia Ni
Let be an odd prime and be an indeterminate. Recently, Z.-W. Sun proposed the following conjecture: $$\det\left[x+\left(\frac{j-i}{p}\right)\right]_{0\le i,j\le \frac{p-1}{…
On cyclotomic matrices involving Gauss sums over finite fields
Hai-Liang Wu, Jie Li, Li-Yuan Wang +1
Inspired by the works of L. Carlitz and Z.-W. Sun on cyclotomic matrices, in this paper, we investigate certain cyclotomic matrices involving Gauss sums over finite fields, which c…
On the cyclotomic field and Zhi-Wei Sun's conjecture on
Li-Yuan Wang, Hai-Liang Wu
In 2019, Zhi-Wei Sun posed an interesting conjecture on certain determinants with Legendre symbol entries. In this paper, by using the arithmetic properties of -th cyclotomic fi…