13 citations · 26 across the 46 of their papers we have counts for
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Cyclic permutations of large subsets with polynomial values in multiplicative subgroups of finite fields
Hai-Liang Wu, He-Xia Ni
Let be a nonconstant polynomial with nonzero discriminant and let be an integer. Inspired by the work of Alon and Bourgain, for sufficiently large pr…
On the Burgess bound and Pythagorean triples involving primitive roots
Hai-Liang Wu, He-Xia Ni
By combining the recent results of Pierce and Xu on the higher-dimensional Burgess bound with the classical one-dimensional Burgess bound, we prove that for any sufficiently large…
On Diophantine -tuples related to primitive elements of finite fields
Hai-Liang Wu
Inspired by recent works on Diophantine tuples over finite fields, in this paper we consider Diophantine tuples related to primitive elements of finite fields. Let b…
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…
Products involving the real parts of Jacobi sums and related cyclotomic matrices
Hai-Liang Wu, Xiao-Han Ji
Let be an odd prime power and be a generator of the group of all multiplicative characters of . In this paper, we study the arithmetic properties of the pro…