Vol. 92, No. 1, 1981

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

Kenneth S. Williams

Vol. 92 (1981), No. 1, 241–248
Abstract

Let p 5 (mod 8) be a prime. Let h(p) denote the class number of the real quadratic field Q(√p). 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
Authors
Kenneth S. Williams