On infinite disjoint covering systems-Reference-Cited by-同舟云学术

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On infinite disjoint covering systems

Published:1993 Issue:1 Volume:119 Page:5-9
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Fraenkel Aviezri S.,Simpson R. Jamie

Abstract

The structure of all infinite incongruent disjoint covering systems (IIDCS) whose moduli are divisible by no prime > 3 > 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 1 , and the set of primes dividing the moduli is finite.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1993-119-01/S0002-9939-1993-1148023-8/S0002-9939-1993-1148023-8.pdf

Reference7 articles.

1. Examples of infinite, incongruent exact covers;Beebee, John;Amer. Math. Monthly,1988

2. On infinite and finite covering systems;Berger, M. A.;Amer. Math. Monthly,1991

3. On finite and infinite covering sets;Dewar, James,1971

4. C. E. Krukenberg, Covering sets of the integers, Ph.D. Thesis, Univ. of Illinois, Urbana-Champaign, IL, 1971.

5. Necessary conditions for distinct covering systems with square-free moduli;Simpson, R. J.;Acta Arith.,1991

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Incongruent restricted disjoint covering systems;Discrete Mathematics;2009-07

2. None of the Above;Unsolved Problems in Number Theory;2004

3. None of the Above;Unsolved Problems in Number Theory;1994

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