FEW MORE RELATIONS CONNECTING RAMANUJAN-TYPE EISENSTEIN SERIES AND CUBIC THETA FUNCTIONS OF BOREWEIN

H. C. Vidya; B. Ashwath Rao

doi:10.17777/pjms2022.25.2.253

FEW MORE RELATIONS CONNECTING RAMANUJAN-TYPE EISENSTEIN SERIES AND CUBIC THETA FUNCTIONS OF BOREWEIN

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

Abstract

This paper aims to formulate identities involving Ramanujan-type Eisenstein series and the cubic theta functions of Borwein, utilizing the (p,k)-parametrization introduced by Alaca. In addition, as an application, by using the derived identities, an appealing representation for the discrete convolution sum (Formula presented) have been evaluated.

Original language	English
Pages (from-to)	253-263
Number of pages	11
Journal	Proceedings of the Jangjeon Mathematical Society
Volume	25
Issue number	2
DOIs	https://doi.org/10.17777/pjms2022.25.2.253
Publication status	Published - 2022

All Science Journal Classification (ASJC) codes

General Mathematics

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10.17777/pjms2022.25.2.253

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title = "FEW MORE RELATIONS CONNECTING RAMANUJAN-TYPE EISENSTEIN SERIES AND CUBIC THETA FUNCTIONS OF BOREWEIN",

abstract = "This paper aims to formulate identities involving Ramanujan-type Eisenstein series and the cubic theta functions of Borwein, utilizing the (p,k)-parametrization introduced by Alaca. In addition, as an application, by using the derived identities, an appealing representation for the discrete convolution sum (Formula presented) have been evaluated.",

author = "Vidya, \{H. C.\} and \{Ashwath Rao\}, B.",

year = "2022",

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Y1 - 2022

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AB - This paper aims to formulate identities involving Ramanujan-type Eisenstein series and the cubic theta functions of Borwein, utilizing the (p,k)-parametrization introduced by Alaca. In addition, as an application, by using the derived identities, an appealing representation for the discrete convolution sum (Formula presented) have been evaluated.

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FEW MORE RELATIONS CONNECTING RAMANUJAN-TYPE EISENSTEIN SERIES AND CUBIC THETA FUNCTIONS OF BOREWEIN

Abstract

All Science Journal Classification (ASJC) codes

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