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arXiv · 1008.3474

Automorphic properties of generating functions for generalized odd rank moments and odd Durfee symbols

Claudia Alfes·Kathrin Bringmann·Jeremy Lovejoy
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Abstract

We define two-parameter generalizations of Andrews' $(k+1)$-marked odd Durfee symbols and $2k$th symmetrized odd rank moments, and study the automorphic properties of some of their generating functions. When $k=0$ we obtain families of modular forms and mock modular forms. When $k \geq 1$, we find quasimodular forms and quasimock modular forms.

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Claudia Alfes, Kathrin Bringmann, Jeremy Lovejoy. 2010-08-20. Automorphic properties of generating functions for generalized odd rank moments and odd Durfee symbols. https://doi.org/10.1017/s0305004111000375

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