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arXiv · 1602.03761

On the number of parts of integer partitions lying in given residue classes

Olivia Beckwith·Michael Mertens
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Abstract

Improving upon previous work on the subject, we use Wright's Circle Method to derive an asymptotic formula for the number of parts in all partitions of an integer that are in any given arithmetic progression.

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Olivia Beckwith, Michael Mertens. 2016-02-11. On the number of parts of integer partitions lying in given residue classes. https://doi.org/10.1007/s00026-017-0363-z

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