Some infinite families of congruences for overpartitions
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DOI: 10.1142/s1793042119500179
Abstract: Let p¯(n) denote the number of overpartitions of n. Recently, several infinite families of congruences modulo 12, 27 and 40 for p¯(n) have been established. In this paper, we investigate systematic... read more here.
Keywords: infinite families; congruences overpartitions; families congruences;
New infinite families of congruences for Andrews’ (K, I)-singular overpartitions
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DOI: 10.2989/16073606.2017.1419297
Abstract: Abstract In a recent work, Andrews defined the singular overpartition functions, denoted by , which count the number of overpartitions of n in which no part is divisible by k and only parts ≡ ±i… read more here.
Keywords: infinite families; families congruences; new infinite; congruences andrews ... See more keywords
Arithmetic properties for two restricted partitions modulo powers of 5
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DOI: 10.2989/16073606.2018.1544945
Abstract: Abstract Let pk,3(n) count the number of 2-color partition triples of n where one of the colors appears only in parts that are multiples of k and Bk,ℓ(n) denote the number of (k, ℓ)-regular bipartitions… read more here.
Keywords: infinite families; arithmetic properties; families congruences; modulo powers ... See more keywords