2 citations · 2 across the 4 of their papers we have counts for
7 papers
Applications of circulant matrices to determinants involving -th power residues
Hai-Liang Wu, Li-Yuan Wang
In this paper, by the tools of circulant matrices and hyperelliptic curves over finite fields, we study some arithmetic properties of certain determinants involving the Legendre sy…
-Supercongruences from transformation formulas
He-Xia Ni, Li-Yuan Wang, Hai-Liang Wu
Let denote the -th cyclotomic polynomial in . Recently, Guo and Schlosser [Constr. Approx. 53 (2021), 155--200] put forward the following conjecture: for an odd in…
Frobenius matrices and a variant of Zolotarev's theorem
Hai-Liang Wu, Li-Yuan Wang
In this paper, with the help of the theory of matrices and finite fields we generalize Zolotarev's theorem to an arbitrary finite dimensional vector space over , wher…
Two -supercongruences from Watson's transformation
He-Xia Ni, Li-Yuan Wang
Guo and Zudilin [Adv. Math. 346 (2019), 329--358] introduced a new method called `creative microscoping', to prove many -supercongruences in a unified way. In this paper, we app…
Products of quadratic residues and related identities
Hai-Liang Wu, Li-Yuan Wang
In this paper we study products of quadratic residues modulo odd primes and prove some identities involving quadratic residues. For instance, let be an odd prime. We prove that…
Applications of Lerch's theorem and permutations concerning quadratic residues
Li-Yuan Wang, Hai-Liang Wu
Let be an odd prime. For each integer with , the famous Zolotarev's Lemma says that the Legendre symbol is the sign of the permutation of …