On Dyson's crank conjecture and the uniform asymptotic behavior of certain inverse theta functions
classification
🧮 math.NT
keywords
conjecturecrankdysonfunctionfunctionsinversethetaasymptotic
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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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