Open Access

On recursions for coefficients of mock theta functions

Research in Number Theory20151:29

DOI: 10.1007/s40993-015-0030-6

Received: 7 September 2015

Accepted: 12 November 2015

Published: 10 December 2015

Abstract

We use a generalized Lambert series identity due to the first author to present q-series proofs of recent results of Imamoğlu, Raum and Richter concerning recursive formulas for the coefficients of two 3rd order mock theta functions. Additionally, we discuss an application of this identity to other mock theta functions.

Mathematics Subject Classification

Primary: 33D15; Secondary: 11F30

Keywords

Lambert series Mock theta functions q-series identities