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arXiv · 1311.6089

On Dyson's crank conjecture and the uniform asymptotic behavior of certain inverse theta functions

Kathrin Bringmann·Jehanne Dousse
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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.

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Kathrin Bringmann, Jehanne Dousse. 2014-06-23. On Dyson's crank conjecture and the uniform asymptotic behavior of certain inverse theta functions. https://arxiv.org/abs/1311.6089

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