Congruences for overpartitions with restricted odd differences
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DOI: 10.1007/s13370-018-0624-y
Abstract: In recent work, Bringmann et al. used q-difference equations to compute a two-variable q-hypergeometric generating function for the number of overpartitions where (i) the difference between two successive parts may be odd only if the… read more here.
Keywords: congruences overpartitions; restricted odd; modulo overline; overpartitions restricted ... See more keywords
EXTENDING CONGRUENCES FOR OVERPARTITIONS WITH $\ell $ -REGULAR NONOVERLINED PARTS
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DOI: 10.1017/s0004972724001023
Abstract: Abstract Recently, Alanazi et al. [‘Refining overpartitions by properties of nonoverlined parts’, Contrib. Discrete Math. 17(2) (2022), 96–111] considered overpartitions wherein the nonoverlined parts must be $\ell $ -regular, that is, the nonoverlined parts cannot… read more here.
Keywords: regular nonoverlined; overpartitions ell; extending congruences; ell regular ... See more keywords
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;