Arithmetic properties for Andrews’ (48,6)- and (48,18)-singular overpartitions

Singular overpartition functions were defined by Andrews. Let Ck,i(n) denote the number of (k, i)-singular overpartitions of n, which counts the number of overpartitions of n in which no part is divisible by k and only parts ±i (mod k) may be overlined. A number of congruences modulo 3, 9 and congru...

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Bibliographic Details
Main Authors: Liu Eric H., Du Wenjing
Format: Article
Language:English
Published: De Gruyter 2019-05-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2019-0026