The class number of Q() modulo 4, for p ≡ 3 ( mod 4) a prime

Kenneth S. Williams

Vol. 83 (1979), No. 2, 565–570

DOI: 10.2140/pjm.1979.83.565

Abstract

If p is a prime congruent to 3 modulo 4, it is well-known that the class number h(−p) of the imaginary quadratic field Q() is odd. In this paper we determine h(−p) modulo 4.

Mathematical Subject Classification

Primary: 12A25, 12A25

Secondary: 12A50

Milestones

Received: 12 July 1978

Published: 1 August 1979