Modular Transformations of Ramanujan's Tenth Order Mock Theta Functions
Number Theory
2012-12-17 v2 High Energy Physics - Theory
Abstract
The modular transformations of Ramanujan's tenth order mock theta functions are computed, beginning from Choi's Hecke-type identites and using Zwegers' results on indefinite theta series. Explicit completions and shadows are found as an intermediate step. Our result for the modular transformations confirms numerical work by Gordon and McIntosh, and a recent conjecture by Cheng, Duncan, and Harvey.
Cite
@article{arxiv.1207.0909,
title = {Modular Transformations of Ramanujan's Tenth Order Mock Theta Functions},
author = {Wynton Moore},
journal= {arXiv preprint arXiv:1207.0909},
year = {2012}
}
Comments
19 pages, no figures, reference added