Andrews-Gordon Type Series for Capparelli's and G\"{o}llnitz-Gordon Identities
Combinatorics
2018-07-31 v1
Abstract
We construct Andrews-Gordon type evidently positive series as generating functions for the partitions satisfying the difference conditions imposed by Capparelli's identities and G\"{o}llnitz-Gordon identities. The construction involves building base partitions, and move parts around subject to certain rules. Some missing cases are also considered, but no new identities are given.
Keywords
Cite
@article{arxiv.1807.11189,
title = {Andrews-Gordon Type Series for Capparelli's and G\"{o}llnitz-Gordon Identities},
author = {Kağan Kurşungöz},
journal= {arXiv preprint arXiv:1807.11189},
year = {2018}
}