Integer multiples of periodic continued fractions

Thomas W. Cusick

Vol. 78 (1978), No. 1, 47–60

DOI: 10.2140/pjm.1978.78.47

Abstract

This paper contains much simpler proofs of the results of Henri Cohen (Acta Arithmetica 26 (1974–75), 129–148) on the period length of the continued fraction for Nα, where N is a positive integer and α is a quadratic irrational.

Mathematical Subject Classification

Primary: 10A32, 10A32

Secondary: 10F20

Milestones

Received: 8 October 1977

Published: 1 September 1978