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Using periodicity to obtain partition congruences.

Using periodicity to obtain partition congruences.

Authors :
Al-Saedi, Ali H.
Source :
Journal of Number Theory. Sep2017, Vol. 178, p158-178. 21p.
Publication Year :
2017

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0022314X
Volume :
178
Database :
Academic Search Index
Journal :
Journal of Number Theory
Publication Type :
Academic Journal
Accession number :
122911981
Full Text :
https://doi.org/10.1016/j.jnt.2017.02.011