Variations of Andrews-Beck type congruences

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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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2021-03, Vol.495 (2), p.124771, Article 124771
Main Authors: Chan, Song Heng, Mao, Renrong, Osburn, Robert
Format: Article
Language:English
Subjects:
[formula omitted]-rank for overpartitions
[formula omitted]-rank for partitions without repeated odd parts
Andrews-Beck type congruences
Dyson's rank for overpartitions
Rank for overpartition pairs
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