IDENTITIES OF THE ROGERS–RAMANUJAN–SLATER TYPE-Reference-Cited by-同舟云学术

IDENTITIES OF THE ROGERS–RAMANUJAN–SLATER TYPE

Published:2007-06 Issue:02 Volume:03 Page:293-323
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

SILLS ANDREW V.¹

Affiliation:

1. Department of Mathematics, Rutgers University, Hill Center, Busch Campus, Piscataway, New Jersey 08854-8019, USA

Abstract

It is shown that (two-variable generalizations of) more than half of Slater's list of 130 Rogers–Ramanujan identities (L. J. Slater, Further identities of the Rogers–Ramanujan type, Proc. London Math Soc. (2)54 (1952) 147–167) can be easily derived using just three multiparameter Bailey pairs and their associated q-difference equations. As a bonus, new Rogers–Ramanujan type identities are found along with natural combinatorial interpretations for many of these identities.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042107000912

Reference36 articles.

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4. Encyclopedia of Mathematics and Its Applications, No. 2;Andrews G. E.,1976

5. 𝑞-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics and Computer Algebra

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