Eisenstein Series Identities Involving the Borweins' Cubic Theta Functions

Based on the theories of Ramanujan's elliptic functions and the (p, k)-parametrization of theta functions due to Alaca et al. (2006, 2007, 2006) we derive certain Eisenstein series identities involving the Borweins' cubic theta functions with the help of the computer. Some of these identit...

Full description

Bibliographic Details
Main Authors: Ernest X. W. Xia, Olivia X. M. Yao
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/181264