Using periodicity to obtain partition congruences

JOURNAL OF NUMBER THEORY

卷:178

Article

Al-Saedi, Ali H.¹ 

[1] Oregon State Univ, Corvallis, OR 97331 USA

关键词: Periodicity;    Partitions;    Overpartitions;    Plane partitions;    Plane overpartitions;   

DOI  :  10.1016/j.jnt.2017.02.011

来源: Elsevier

【 摘 要 】

In this paper, we generalize recent work of Mizuhara, Sellers, and Swisher that gives a method for establishing restricted plane partition congruences based on a bounded number of calculations. Using periodicity for partition functions, our extended technique could be a useful tool to prove congruences for certain types of combinatorial functions based on a bounded number of calculations. As applications of our result, we establish new and existing restricted plane partition congruences, restricted plane overpartition congruences and several examples of restricted partition congruences. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free