Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



On infinite disjoint covering systems

Authors: Aviezri S. Fraenkel and R. Jamie Simpson
Journal: Proc. Amer. Math. Soc. 119 (1993), 5-9
MSC: Primary 11B25
MathSciNet review: 1148023
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Abstract: The structure of all infinite incongruent disjoint covering systems (IIDCS) whose moduli are divisible by no prime $ > 3$ is given. It is then shown that this structure characterizes the subset of IIDCS for which the greatest common factor of all the moduli is $ 1$, and the set of primes dividing the moduli is finite.

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Article copyright: © Copyright 1993 American Mathematical Society