Song Heng Chan, Renrong Mao, Robert Osburn
Published 2020-05-04Version 1
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.
Beck-type identities for Euler pairs of order $r$
Some variations of a "divergent" Ramanujan-type $q$-supercongruence
Partitions with parts separated by parity: conjugation, congruences and the mock theta functions
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