Multiranks and classical theta functions
Combinatorics
2017-08-23 v4
Abstract
Multiranks and new rank/crank analogs for a variety of partitions are given, so as to imply combinatorially some arithmetic properties enjoyed by these types of partitions. Our methods are elementary relying entirely on the three classical theta functions, and are motivated by the seminal work of Ramanujan, Garvan, Hammond and Lewis.
Cite
@article{arxiv.1612.01141,
title = {Multiranks and classical theta functions},
author = {Shishuo Fu and Dazhao Tang},
journal= {arXiv preprint arXiv:1612.01141},
year = {2017}
}
Comments
17 pages, 3 figures