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Automorphic properties of generating functions for generalized odd rank moments and odd Durfee symbols
Published online by Cambridge University Press: 18 July 2011
Abstract
We define two-parameter generalizations of Andrews' (k+1)-marked odd Durfee symbols and 2kth 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 ≥ 1, we find quasimodular forms and quasimock modular forms.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 151 , Issue 3 , November 2011 , pp. 385 - 406
- Copyright
- Copyright © Cambridge Philosophical Society 2011
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