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math.NT2013
On Dyson's crank conjecture and the uniform asymptotic behavior of certain inverse theta functions
Kathrin Bringmann, Jehanne Dousse
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 i…
math.CO2013
A combinatorial proof and refinement of a partition identity of Siladić
Jehanne Dousse
In this paper we give a combinatorial proof and refinement of a Rogers-Ramanujan type partition identity of Siladić arising from the study of Lie algebras. Our proof uses generatin…