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

Author:

ALFES CLAUDIA,BRINGMANN KATHRIN,LOVEJOY JEREMY

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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1. Modular forms and congruences for k-marked odd Durfee symbols;Journal of Mathematical Analysis and Applications;2024-12

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4. Unimodal sequences and “strange” functions: a family of quantum modular forms;Pacific Journal of Mathematics;2015-03-02

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