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Variations of Andrews-Beck type congruences
Published 4 May 2020 in math.NT and math.CO | (2005.01272v2)
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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