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Asymptotics for rank partition functions

Author(s): Kathrin Bringmann
Journal: Trans. Amer. Math. Soc. 361 (2009), 3483-3500.
MSC (2000): Primary 11P82, 05A17
Posted: February 4, 2009
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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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Additional Information:

Kathrin Bringmann
Affiliation: Mathematisches Institut, Universtät Köln, Weyertal 86-90, 50931 Köln, Germany
Email: kbringma@math.uni-koeln.de

DOI: 10.1090/S0002-9947-09-04553-X
PII: S 0002-9947(09)04553-X
Received by editor(s): February 26, 2007
Posted: February 4, 2009
Copyright of article: Copyright 2009, American Mathematical Society

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