Hai-Liang Wu, Li-Yuan Wang
Abstract
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In this paper we study products of quadratic residues modulo odd primes and prove some identities involving quadratic residues. For instance, let $p$ be an odd prime. We prove that if $p\equiv5\pmod8$, then $$\prod_{0
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In this paper we study products of quadratic residues modulo odd primes and prove some identities involving quadratic residues. For instance, let $p$ be an odd prime. We prove that if $p\equiv5\pmod8$, then $$\prod_{0
Key concepts: Quadratic residue, Legendre symbol, Mathematics, Modulo, Congruence (geometry), Combinatorics, Quadratic equation, Dirichlet distribution