The class number of Q() modulo 4, for p ≡ 5 (mod 8) a prime

Kenneth S. Williams

Vol. 92 (1981), No. 1, 241–248

DOI: 10.2140/pjm.1981.92.241

Abstract

Let p ≡ 5 (mod 8) be a prime. Let h(p) denote the class number of the real quadratic field Q(). It is well-known that h(p) ≡ 1 (mod 2). In this paper the residue of h(p) modulo 4 is determined.

Mathematical Subject Classification

Primary: 12A50, 12A50

Secondary: 12A25

Milestones

Received: 1 May 1979

Published: 1 January 1981