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Ramanujan's identities for eta-functions

✍ Scribed by B. C. Berndt; Liang-Cheng Zhang


Publisher
Springer
Year
1992
Tongue
English
Weight
451 KB
Volume
292
Category
Article
ISSN
0025-5831

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πŸ“œ SIMILAR VOLUMES


On Certain Identities Of Ramanujan
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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.

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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