Quasi-modularity of generalized sum-of-divisors functions
© The Author(s) 2015
Received: 17 June 2015
Accepted: 5 August 2015
Published: 3 December 2015
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.