Some q-transformation formulas and Hecke type identities-Reference-Cited by-同舟云学术

Some q-transformation formulas and Hecke type identities

Published:2019-07-21 Issue:07 Volume:15 Page:1349-1367
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Wang Chun¹,Chern Shane²

Affiliation:

1. Department of Mathematics, East China Normal University, 500 Dongchuan Road, Shanghai 200241, P. R. China

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

Abstract

In this paper, we establish certain transformations on basic hypergeometric series. Some applications of these transformation formulas to Hecke type identities will be discussed. We also study other [Formula: see text]-series transformations that may lead to certain Rogers–Ramanujan type identities.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042119500751

Reference11 articles.

1. Connection coefficient problems and partitions

2. The fifth and seventh order mock theta functions

3. Summation formulae for a class of terminating balanced q-series

4. E. Hecke, Mathematische Werke, Vandenhoeck & Ruprecht, 955 pp. (Göttingen, 1959).

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