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arXiv · 1403.3352

Maximal multiplicative properties of partitions

Christine Bessenrodt·Ken Ono
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Abstract

Extending the partition function multiplicatively to a function on partitions, we show that it has a unique maximum at an explicitly given partition for any $n\neq 7$. The basis for this is an inequality for the partition function which seems not to have been noticed before.

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Christine Bessenrodt, Ken Ono. 2014-04-06. Maximal multiplicative properties of partitions. https://arxiv.org/abs/1403.3352

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