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 e-prints
- Pub Date:
- December 2015
- DOI:
- 10.48550/arXiv.1512.00896
- arXiv:
- arXiv:1512.00896
- Bibcode:
- 2015arXiv151200896A
- Keywords:
-
- Mathematics - Number Theory;
- 11A15