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math.NT2019
Squares in and permutations involving primitive roots
Hai-Liang Wu
Let be an odd prime, and let be a primitive -th root of unity in the algebraic closure of . We let $g\in\mathb…
math.NT2019
On some determinants involving cyclotomic units
Hai-Liang Wu
For each odd prime , let denote a primitive -th root of unity. In this paper, we study the determinants of some matrices with cyclotomic unit entries. For instance, we…
math.NT2019
Quadratic residues and related permutations
Hai-Liang Wu
Let be an odd prime. For any -adic integer we let denote the unique integer with and divisible by . In this paper we study some…