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Open Access

The number of parts in certain residue classes of integer partitions

Research in Number Theory20151:11

https://doi.org/10.1007/s40993-015-0012-8

Received: 26 May 2015

Accepted: 10 June 2015

Published: 2 November 2015

Abstract

We use the Circle Method to derive asymptotics for functions related to the number of parts of partitions in particular residue classes.

Keywords

Partition FunctionNumber TheoryModular FormEisenstein SeriesResidue Class

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