Sums of Quadratic residues and nonresidues
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.
 Publication:

arXiv eprints
 Pub Date:
 December 2015
 DOI:
 10.48550/arXiv.1512.00896
 arXiv:
 arXiv:1512.00896
 Bibcode:
 2015arXiv151200896A
 Keywords:

 Mathematics  Number Theory;
 11A15