A multilateral Bailey Lemma and multiple Andrews--Gordon identities
Combinatorics
2010-02-02 v1 Number Theory
Abstract
A multilateral Bailey Lemma is proved, and multiple analogues of the Rogers--Ramanujan identities and Euler's Pentagonal Theorem are constructed as applications. The extreme cases of the Andrews--Gordon identities are also generalized using the multilateral Bailey Lemma where their final form is written in terms of determinants of theta functions.
Cite
@article{arxiv.1002.0183,
title = {A multilateral Bailey Lemma and multiple Andrews--Gordon identities},
author = {Hasan Coskun},
journal= {arXiv preprint arXiv:1002.0183},
year = {2010}
}
Comments
23 pages