Abstract Views :268 |
PDF Views:0
Authors
Affiliations
1 Department of Mathematics, Soochow University, Suzhou, P. O. Box 173, Suzhou-215006, CN
Source
Journal of the Ramanujan Mathematical Society, Vol 26, No 3 (2011), Pagination: 237-259
Abstract
In this paper, a general bivariate circular summation formula and its dual form are established. They connect Ramanujan’s theta function with the cubic analogue, ∑m,n=−∞ qm2+mn+n2 xm, of the classical theta functions introduced by M. Hirschhorn, F. Garvan and J. Borwein [18]. As applications, many new theta function identities are found and some well-known results are recovered from this summation formula as well as its dual form.