Modularity of moments of reciprocal sums for partitions into distinct parts
Abstract
In this paper, we determine modularity properties of the generating function of sk(n) which sums k-th power of reciprocals of parts throughout all of the partitions of n into distinct parts. In particular, we show that the generating function for sk (n) is related to Maass Eisenstein series and sesquiharmonic Maass forms.
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