Ramanujan's identities for eta-functions
β Scribed by B. C. Berndt; Liang-Cheng Zhang
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 451 KB
- Volume
- 292
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper we will start with one identity of Ramanujan about Lambert series related to modular relations of degree 7 to give some completely new proofs of several important theta functions identities proved by Berndt and Zhang [1994, J. Number Theory 48, 224 242] via the theory of modular forms.
In the unorganized pages of his second notebook, Ramanujan offers two new theta-function identities that have a form different from other identities found in the literature. Using the theory of modular forms, we prove a general theorem containing Ramanujan's two identities as special cases. 1994 Aca