Abstract Views :164 |
PDF Views:0
Authors
Affiliations
1 East China Normal University, Department of Mathematics, Shanghai 200241, CN
Source
Journal of the Ramanujan Mathematical Society, Vol 22, No 3 (2007), Pagination: 283–298
Abstract
We prove an identity connecting a theta function and a sum of Eisenstein series by using the complex variable theory of elliptic functions, which contains as a special case a famous identity of Ramanujan connected with partitions modulus 5. This identity allows us to develop a theory for the Eisenstein series on the congruence subgroup Γ0(5). Combining this identity with two identities in Ramanujan’s lost notebook, a curious Eisenstein series identity related to the Rogers-Ramanujan continued fraction is derived.