Maximal multiplicative properties of partitions

Published 13 Mar 2014 in math.CO and math.NT | (1403.3352v2)

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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