The quadratic and quartic character of certain quadratic units. I

Philip A. Leonard and Kenneth S. Williams

Vol. 71 (1977), No. 1, 101–106

DOI: 10.2140/pjm.1977.71.101

Abstract

Let 𝜖_m denote the fundamental unit of the real quadratic field Q(). It is our purpose to evaluate the rational quadratic and biquadratic residue symbols of 𝜖_m modulo a prime p for certain values of m.

Mathematical Subject Classification

Primary: 12A30, 12A30

Secondary: 12A45

Milestones

Received: 11 March 1976

Revised: 6 July 1976

Published: 1 July 1977