Some Eisenstein Series Identities

Zhi Guo Liu

doi:10.1006/jnth.2000.2543

Some Eisenstein Series Identities

Zhi Guo Liu^*

^*此作品的通讯作者

Xinxiang Education College

科研成果: 期刊稿件 › 文章 › 同行评审

18 引用（Scopus）

摘要

In this paper we use the theory of elliptic functions to provide different proofs of some Eisenstein series identities of Ramanujan from those given in a recent paper by B. C. Berndt, S. Bhargava, and F. G. Garvan (1995, Trans. Amer. Math. Soc.347, 4136-4244). From one of these identities we derive the inversion formula for the Borweins cubic theta functions via Venkatachanliengar's method. We also derive some striking Eisenstein series identities associated with the Borweins' cubic theta functions.

源语言	英语
页（从-至）	231-252
页数	22
期刊	Journal of Number Theory
卷	85
期	2
DOI	https://doi.org/10.1006/jnth.2000.2543
出版状态	已出版 - 12月 2000
已对外发布	是

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KW - Eisenstein series; elliptic functions; theta functions; Borweins' cubic theta functions; modular equations; hypergeometric functions

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Some Eisenstein Series Identities

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