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Covering systems of congruences, a negative result

Published online by Cambridge University Press:  26 February 2010

J. A. Haight
J. A. Haight
Affiliation:
Department of Mathematics, University College, London.
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Suppose that we have a system of congruences ai (mod ni) 1 < n1 < … < ni < … < nk such that every integer is congruent to at least one ai (mod ni), then we say that it is a covering system of congruences. If ni | m, 1 ≤ i ≤ k, we say that m is a covering number. We shall use the symbol ℕ to denote the natural numbers together with zero, then m is a covering number if, for each q there is an aq such that

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Type
Research Article
Information
Mathematika , Volume 26 , Issue 1 , June 1979 , pp. 53 - 61
Copyright
Copyright © University College London 1979

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References

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