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arXiv · 1812.05951

Complementary Schur Asymptotics for Partitions

Jaroslav Hančl Jr
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Abstract

We deduce from the strong form of the Hardy--Ramanujan asymptotics for the partition function $p(n)$ an asymptotics for $p_{-S}(n)$, the number of partitions of $n$ that do not use parts from a finite set $S$ of positive integers. We apply this to construct highly oscillating partition ideals.

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Jaroslav Hančl Jr. 2018-12-14. Complementary Schur Asymptotics for Partitions. https://arxiv.org/abs/1812.05951

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