Maximal multiplicative properties of partitions
classification
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math.NT
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functionpartitionpartitionsbasisbeenbeforeexplicitlyextending
read the original 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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