Robert C. Rhoades

activity

20032019

most citedAsymptotics for rank and crank moments

38 citations · 110 across the 18 of their papers we have counts for

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Showing 2012Show all

2 papers · 1 filter

math.CO2012★ 6 cited

Note on a partition limit theorem for rank and crank

Persi Diaconis, Svante Janson, Robert C. Rhoades

If L is a partition of n, the rank of L is the size of the largest part minus the number of parts. Under the uniform distribution on partitions, Bringmann, Mahlburg, and Rhoades sh…

math.NT2012

A proof of Andrews' conjecture on Partitions with no short sequences

Daniel M. Kane, Robert C. Rhoades

Holroyd, Liggett, and Romik introduced the following probability model. Let $C_{1}, C_{2}, ...$ be independent events with probabilities $¶_{s} (C_{n}) = 1 - e^{- n s}$ under a probability measur…