A multilateral Bailey Lemma and multiple Andrews--Gordon identities

2010/02/01 by Coskun, Hasan
#05A19 #05E20 #11B65 #33D67 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1002.0183

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.

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