Asymptotics for rank partition functions

Bringmann, Kathrin

doi:10.1090/S0002-9947-09-04553-X

Asymptotics for rank partition functions
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by Kathrin Bringmann PDF

Trans. Amer. Math. Soc. 361 (2009), 3483-3500 Request permission

Abstract:

In this paper, we obtain asymptotic formulas for an infinite class of rank generating functions. As an application, we solve a conjecture of Andrews and Lewis on inequalities between certain ranks.

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