On a continued fraction of order twelve and new Eisenstein series identities

Chandrashekar Adiga; Zhi Guo Liu; A. Vanitha

doi:10.1016/j.jnt.2014.06.018

On a continued fraction of order twelve and new Eisenstein series identities

Chandrashekar Adiga
, Zhi Guo Liu^*
, A. Vanitha

^*此作品的通讯作者

数学科学学院

University of Mysore

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

We prove two identities associated with Ramanujan's continued fraction of order 12. We further establish several Eisenstein series identities associated with Ramanujan's continued fraction of order 12.

源语言	英语
页（从-至）	554-571
页数	18
期刊	Journal of Number Theory
卷	145
DOI	https://doi.org/10.1016/j.jnt.2014.06.018
出版状态	已出版 - 12月 2014

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title = "On a continued fraction of order twelve and new Eisenstein series identities",

abstract = "We prove two identities associated with Ramanujan's continued fraction of order 12. We further establish several Eisenstein series identities associated with Ramanujan's continued fraction of order 12.",

keywords = "Eisenstein series, Elliptic function, Rogers-Ramanujan's continued fraction, Theta function",

author = "Chandrashekar Adiga and Liu, \{Zhi Guo\} and A. Vanitha",

year = "2014",

month = dec,

doi = "10.1016/j.jnt.2014.06.018",

language = "英语",

volume = "145",

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T1 - On a continued fraction of order twelve and new Eisenstein series identities

AU - Adiga, Chandrashekar

AU - Liu, Zhi Guo

AU - Vanitha, A.

PY - 2014/12

Y1 - 2014/12

N2 - We prove two identities associated with Ramanujan's continued fraction of order 12. We further establish several Eisenstein series identities associated with Ramanujan's continued fraction of order 12.

AB - We prove two identities associated with Ramanujan's continued fraction of order 12. We further establish several Eisenstein series identities associated with Ramanujan's continued fraction of order 12.

KW - Eisenstein series

KW - Elliptic function

KW - Rogers-Ramanujan's continued fraction

KW - Theta function

UR - https://www.scopus.com/pages/publications/84907344034

U2 - 10.1016/j.jnt.2014.06.018

DO - 10.1016/j.jnt.2014.06.018

M3 - 文章

AN - SCOPUS:84907344034

SN - 0022-314X

VL - 145

SP - 554

EP - 571

JO - Journal of Number Theory

JF - Journal of Number Theory

ER -

On a continued fraction of order twelve and new Eisenstein series identities

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