On three third order mock theta functions and Hecke-type double sums
Number Theory
2014-07-29 v1
Abstract
We obtain four Hecke-type double sums for three of Ramanujan's third order mock theta functions. We discuss how these four are related to the new mock theta functions of Andrews' work on -orthogonal polynomials and Bringmann, Hikami, and Lovejoy's work on unified Witten-Reshetikhin-Turaev invariants of certain Seifert manifolds. We then prove identities between these new mock theta functions by first expressing them in terms of the universal mock theta function.
Keywords
Cite
@article{arxiv.1208.1330,
title = {On three third order mock theta functions and Hecke-type double sums},
author = {Eric Mortenson},
journal= {arXiv preprint arXiv:1208.1330},
year = {2014}
}