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A Property of Farey Sequences, WithApplications to qTH Power Residues

Published online by Cambridge University Press:  20 November 2018

Pasquale Porcelli  and
Gordon Pall
Pasquale Porcelli
Affiliation:
University of Texas
Gordon Pall
Affiliation:
Illinois Institute of Technology
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The Farey sequence of order h — 1 consists of the reduced rational fractions from 0 to 1 inclusive, with denominators less than h, and arranged in order of magnitude. Thus, if h = 6, the sequence is

(1) 0/1,1/5, 1/4,1/3, 2/5, 1/2, 3/5, 2/3, 3/4, 4/5, 1/1.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 3 , 1951 , pp. 52 - 53
Copyright
Copyright © Canadian Mathematical Society 1951