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Covering the integers with arithmetic progressions

Published online by Cambridge University Press:  17 April 2009

R. J. Simpson
R. J. Simpson
Affiliation:
South Australian Institute of Technology, Whyalla Campus, Nicholson Avenue, Whyalla Norrie. S.A. 5608.
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Abstract

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Type
Abstracts of Australasian phD Thesis
Information
Bulletin of the Australian Mathematical Society , Volume 32 , Issue 3 , December 1985 , pp. 461 - 463
Copyright
Copyright © Australian Mathematical Society 1985

References

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[2]Crittenden, R.B. and vanden Eynden, C. L., “Any n arithmetic progressions covering the first 2n integers cover all the integers”, Proc. Amer. Math. Soc. 24 (1970), 475–481.Google Scholar
[3]Crittenden, R.B. and Vanden Eynden, C.L., “The union of arithmetic Prograssions with differences not less than k”, Am. Math. Monthly 79 (1972), 630.Google Scholar
[4]Korec, I., “On a generalisation of Mycielski's and Znam's conjectures about coset decomposition of Abelian Groups”, Fund. Math. 85 (1974), 41–48.CrossRefGoogle Scholar