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

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

2010-08-20

arxiv.org/abs/1008.3474v1

Mathematics

Number Theory

Scientific paper

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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