Congruences for overpartitions with restricted odd differences
Sign Up to like & getrecommendations! Published in 2019 at "Afrika Matematika"
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
Some infinite families of congruences for overpartitions
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Number Theory"
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;