A Local Limit Theorem for Integer Partitions into Small Powers

Published 15 Nov 2023 in math.CO and math.NT | (2311.09203v1)

Abstract: The investigation of partitions of integers plays an important role in combinatorics and number theory. Among the many variations, partitions into powers $0<\alpha<1$ were of recent interest. In the present paper we want to extend our considerations of the length of a random partition by providing a local limit theorem.

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