Sums of Quadratic residues and nonresidues

2015/12/02 by Aebi, Christian, Cairns, Grant
#11A15 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1512.00896

Abstract

It is well known that when a prime p is congruent to 1 modulo 4, the sum of the quadratic residues equals the sum of the quadratic nonresidues. In this note we give analogous results for the case where p is congruent to 3 modulo 4.

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