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Using periodicity to obtain partition congruences.
Using periodicity to obtain partition congruences.
- 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