Deriving Discrete Convolution Sums Through Relationships With Ramanujan-Type Eisenstein Series

Vidya Harekala Chandrashekara; Ashwath Rao Badanidiyoor; Smitha Ganesh Bhat

Deriving Discrete Convolution Sums Through Relationships With Ramanujan-Type Eisenstein Series

^*Corresponding author for this work

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

Abstract

This study seeks to establish connections between Ramanujan-type Eisenstein series and Borweins’ cubic theta functions, employing the (p, k)-parametrization method introduced by Alaca. Furthermore, the derived identities are applied to provide a novel representation for the evaluation of the discrete convolution sum (Formula Presented).

Original language	English
Pages (from-to)	1500-1509
Number of pages	10
Journal	Engineering Letters
Volume	32
Issue number	7
Publication status	Published - 01-07-2024

All Science Journal Classification (ASJC) codes

General Engineering

Cite this

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title = "Deriving Discrete Convolution Sums Through Relationships With Ramanujan-Type Eisenstein Series",

abstract = "This study seeks to establish connections between Ramanujan-type Eisenstein series and Borweins{\textquoteright} cubic theta functions, employing the (p, k)-parametrization method introduced by Alaca. Furthermore, the derived identities are applied to provide a novel representation for the evaluation of the discrete convolution sum (Formula Presented).",

author = "Chandrashekara, \{Vidya Harekala\} and Badanidiyoor, \{Ashwath Rao\} and Bhat, \{Smitha Ganesh\}",

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T1 - Deriving Discrete Convolution Sums Through Relationships With Ramanujan-Type Eisenstein Series

AU - Chandrashekara, Vidya Harekala

AU - Badanidiyoor, Ashwath Rao

AU - Bhat, Smitha Ganesh

PY - 2024/7/1

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N2 - This study seeks to establish connections between Ramanujan-type Eisenstein series and Borweins’ cubic theta functions, employing the (p, k)-parametrization method introduced by Alaca. Furthermore, the derived identities are applied to provide a novel representation for the evaluation of the discrete convolution sum (Formula Presented).

AB - This study seeks to establish connections between Ramanujan-type Eisenstein series and Borweins’ cubic theta functions, employing the (p, k)-parametrization method introduced by Alaca. Furthermore, the derived identities are applied to provide a novel representation for the evaluation of the discrete convolution sum (Formula Presented).

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M3 - Article

AN - SCOPUS:85198364143

SN - 1816-093X

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JO - Engineering Letters

JF - Engineering Letters

IS - 7

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Deriving Discrete Convolution Sums Through Relationships With Ramanujan-Type Eisenstein Series

Abstract

All Science Journal Classification (ASJC) codes

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