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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
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…
math.NT2022
A variant of some cyclotomic matrices involving trinomial coefficients
Yu-Bo Li, Ning-Liu Wei
In this paper, by using the theory of circulant matrices we study some matrices over finite fields which involve the quadratic character and trinomial coefficients.