Congruences for two restricted overpartitions

Proceedings of the Indian Academy of Sciences. Mathematical sciences

LI-JUN HAO^2¹  SHANE CHERN^1² 

[1] Center for Combinatorics, LPMC, Nankai University, Tianjin 300071, People’s Republic of China^2;Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA^1

关键词: Partition;    overpartition;    Ramanujan-type congruence;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Congruences for partitions have received a great deal of attention in literature. Recently, Bringmann et al. (Electron J. Combin. 22(3) (2015) Paper 3.17,16 pp.) studied overpartitions with restricted odd differences. In this paper, we present a number of Ramanujan-type congruences for these restricted overpartition functions.

【 授权许可】

CC BY