ON q-SERIES IDENTITIES ARISING FROM LECTURE HALL PARTITIONS-Reference-Cited by-同舟云学术

ON q-SERIES IDENTITIES ARISING FROM LECTURE HALL PARTITIONS

Published:2009-03 Issue:02 Volume:05 Page:327-337
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

ANDREWS GEORGE E.¹,CORTEEL SYLVIE²,SAVAGE CARLA D.³

Affiliation:

1. Mathematics Department, The Pennsylvania State University, University Park, PA 16802, USA

2. LRI, CNRS et Université Paris-Sud, Bât. 490, F-91405 Orsay, France

3. Department of Computer Science, North Carolina State University, Raleigh, NC 27695-8206, USA

Abstract

In this paper, we highlight two q-series identities arising from the "five guidelines" approach to enumerating lecture hall partitions and give direct, q-series proofs. This requires two new finite corollaries of a q-analog of Gauss's second theorem. In fact, the method reveals stronger results about lecture hall partitions and anti-lecture hall compositions that are only partially explained combinatorially.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042109002134

Reference6 articles.

1. On the q-analog of Kummer’s theorem and applications

2. Anti-Lecture Hall Compositions

3. Lecture hall theorems, q-series and truncated objects

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