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On Certain Identities Of Ramanujan

✍ Scribed by Zhi-Guo Liu

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
127 KB
Volume
83
Category
Article
ISSN
0022-314X

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✦ Synopsis

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. This study also yields a simple proof of one important identity of Ramanujan connected with partitions modulo 7. We also derive some new theta-function identities.

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