Necessary and sufficient conditions for simple A-bases

Carl E. Swenson and Calvin T. Long

Vol. 126 (1987), No. 2, 379–384

DOI: 10.2140/pjm.1987.126.379

Abstract

Let A be a set of m distinct integers with m ≥ 2 and 0 ∈ A. It is shown that A possesses a simple A-base if and only if A is a complete residue system modulo m and the elements of A are relatively prime.

Mathematical Subject Classification 2000

Primary: 11B13

Milestones

Received: 18 March 1985

Revised: 21 November 1985

Published: 1 February 1987