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Quasi-modularity of generalized sum-of-divisors functions

Published 16 Jun 2015 in math.NT | (1506.04963v2)

Abstract: In 1919, P. A. MacMahon studied generating functions for generalized divisor sums. In this paper, we provide a framework in which to view these generating functions in terms of Jacobi forms, and prove that they are quasi-modular forms.

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