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arXiv · 1406.6848

Asymptotic formulae for partition ranks

Jehanne Dousse·Michael H. Mertens
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Abstract

Using an extension of Wright's version of the circle method, we obtain asymptotic formulae for partition ranks similar to formulae for partition cranks which where conjectured by F. Dyson and recently proved by the first author and K. Bringmann.

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Jehanne Dousse, Michael H. Mertens. 2014-06-26. Asymptotic formulae for partition ranks. https://arxiv.org/abs/1406.6848

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