Zolotarev’s theorem on the Legendre symbol

J. L. Brenner

Vol. 45 (1973), No. 2, 413–414

DOI: 10.2140/pjm.1973.45.413

Abstract

Matrix-theoretic proof that (a∕p) = sign of the permutation i( mod p) → ia( mod p) of the residue classes mod p.

Mathematical Subject Classification 2000

Primary: 10A10

Secondary: 15A15

Milestones

Received: 2 February 1972

Published: 1 April 1973