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arXiv · 2005.01272

Variations of Andrews-Beck type congruences

Song Heng Chan·Renrong Mao·Robert Osburn
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Abstract

We prove three variations of recent results due to Andrews on congruences for $NT(m,k,n)$, the total number of parts in the partitions of $n$ with rank congruent to $m$ modulo $k$. We also conjecture new congruences and relations for $NT(m,k,n)$ and for a related crank-type function.

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Song Heng Chan, Renrong Mao, Robert Osburn. 2020-05-04. Variations of Andrews-Beck type congruences. https://doi.org/10.1016/j.jmaa.2020.124771

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