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arxiv: 0708.0691 · v1 · submitted 2007-08-05 · 🧮 math.NT

Asymptotics for rank partition functions

classification 🧮 math.NT
keywords functionsrankandrewsapplicationasymptoticasymptoticscertainclass
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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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