World Scientific Publishing, International Journal of Number Theory, 08(16), p. 1833-1858, 2020
DOI: 10.1142/s1793042120500955
Full text: Unavailable
In this paper, we study some products related to quadratic residues and quartic residues modulo primes. Let [Formula: see text] be an odd prime and let [Formula: see text] be any integer. We determine completely the product [Formula: see text] modulo [Formula: see text]; for example, if [Formula: see text] then [Formula: see text] where [Formula: see text] denotes the Legendre symbol. We also determine [Formula: see text] modulo [Formula: see text].