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math.NT2023
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…
math.NT2023
On generalized Legendre matrices involving roots of unity over finite fields
Ning-Liu Wei, Yu-Bo Li, Hai-Liang Wu
In this paper, motivated by the work of Chapman, Vsemirnov and Sun et al., we investigate some arithmetic properties of the generalized Legendre matrices over finite fields. For ex…
math.NT2023★ 2 cited
On sumsets involving th powers of finite fields
Hai-Liang Wu, Ning-Liu Wei, Yu-Bo Li
In this paper, we study some topics concerning the additive decompositions of the set of all th power residues modulo a prime . For example, given a positive integer $k…