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

^*Corresponding author for this work

School of Mathematical Sciences

University of Mysore

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	554-571
Number of pages	18
Journal	Journal of Number Theory
Volume	145
DOIs	https://doi.org/10.1016/j.jnt.2014.06.018
State	Published - Dec 2014

Keywords

Eisenstein series
Elliptic function
Rogers-Ramanujan's continued fraction
Theta function

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10.1016/j.jnt.2014.06.018

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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",

pages = "554--571",

journal = "Journal of Number Theory",

issn = "0022-314X",

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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

Abstract

Keywords

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