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

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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 languageEnglish
Pages (from-to)253-263
Number of pages11
JournalProceedings of the Jangjeon Mathematical Society
Volume25
Issue number2
DOIs
Publication statusPublished - 2022

All Science Journal Classification (ASJC) codes

  • General Mathematics

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