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Displaying similar documents to “Regularly spaced subsums of integer partitions”

Asymptotic formulae for partition ranks

Jehanne Dousse, Michael H. Mertens (2015)

Acta Arithmetica

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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.

Euler’s Partition Theorem

Karol Pąk (2015)

Formalized Mathematics

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In this article we prove the Euler’s Partition Theorem which states that the number of integer partitions with odd parts equals the number of partitions with distinct parts. The formalization follows H.S. Wilf’s lecture notes [28] (see also [1]). Euler’s Partition Theorem is listed as item #45 from the “Formalizing 100 Theorems” list maintained by Freek Wiedijk at http://www.cs.ru.nl/F.Wiedijk/100/ [27].