Over the past several years, numerous authors have studied properties of the combinatorial objects known as overpartitions (which are natural generalizations of integer partitions). In this paper, we consider various classes of overpartitions where the "overlined parts" belong to certain residue classes modulo a positive integer m. We state new identities between such restricted overpartitions and standard partition functions. Finally, we prove a number of Ramanujan-like congruences for many of the restricted overpartition functions using elementary generating function manipulations.
|Original language||English (US)|
|Number of pages||17|
|State||Published - Nov 1 2014|
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty
- Applied Mathematics