Congruences for Andrews singular overpartition pairs
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DOI: 10.1142/s1793042118500586
Abstract: Andrews defined the combinatorial objects called singular overpartitions denoted by C¯k,i(n), which counts the number of overpartitions of n in which no part is divisible by k and only parts ≡±i(modk) may be overlined. In… read more here.
Keywords: infinite families; overpartition pairs; number; andrews singular ... See more keywords
Arithmetic properties for Andrews’ (48,6)- and (48,18)-singular overpartitions
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DOI: 10.1515/math-2019-0026
Abstract: Abstract 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… read more here.
Keywords: arithmetic properties; andrews singular; number; properties andrews ... See more keywords
New infinite families of congruences for Andrews’ (K, I)-singular overpartitions
Sign Up to like & getrecommendations! Published in 2018 at "Quaestiones Mathematicae"
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