On Dyson's crank conjecture and the uniform asymptotic behavior of certain inverse theta functions
Number Theory
2014-06-24 v3
Abstract
In this paper we prove a longstanding conjecture by Freeman Dyson concerning the limiting shape of the crank generating function. We fit this function in a more general family of inverse theta functions which play a key role in physics.
Keywords
Cite
@article{arxiv.1311.6089,
title = {On Dyson's crank conjecture and the uniform asymptotic behavior of certain inverse theta functions},
author = {Kathrin Bringmann and Jehanne Dousse},
journal= {arXiv preprint arXiv:1311.6089},
year = {2014}
}
Comments
Some error bounds have been fixed