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Non-vanishing of the partition function modulo odd primes l

Part of: Additive number theory; partitions

Published online by Cambridge University Press:  26 February 2010

Scott Ahlgren
Scott Ahlgren
Affiliation:
Department of Mathematics, The Pennsylvania State University, University Park, Pennsylvania, 16802-6401, U.S.A.
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Abstract

Let p(n) be the usual partition function. Let l be an odd prime, and let r (mod t) be any arithmetic progression. If there exists an integer n ≡ r (mod t) such that p(n) ≢ 0 (mod l), then, for large X,

MSC classification

Secondary: 11P83: Partitions; congruences and congruential restrictions

Information

Type
Research Article
Information
Mathematika , Volume 46 , Issue 1 , June 1999 , pp. 185 - 192
Copyright
Copyright © University College London 1999

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References

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