Some Eisenstein Identities Involving Borweins’ Cubic Theta Functions and Evaluation of Compound Convolution Sum

Smitha Ganesh Bhat; Vidya Harekala Chandrashekara; Ashwath Rao Badanidiyoor

Some Eisenstein Identities Involving Borweins’ Cubic Theta Functions and Evaluation of Compound Convolution Sum

^*Corresponding author for this work

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Abstract

The (p, k)-parametrization technique introduced by Alaca provides an alternative approach for formulating several new Eisenstein series identities involving Borwein’s theta functions. As a practical example, we have computed the convolution sum of divisor functions, which exhibit a connection with Eisenstein series.

Original language	English
Pages (from-to)	452-462
Number of pages	11
Journal	Engineering Letters
Volume	32
Issue number	3
Publication status	Published - 03-2024

All Science Journal Classification (ASJC) codes

General Engineering

Cite this

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title = "Some Eisenstein Identities Involving Borweins{\textquoteright} Cubic Theta Functions and Evaluation of Compound Convolution Sum",

abstract = "The (p, k)-parametrization technique introduced by Alaca provides an alternative approach for formulating several new Eisenstein series identities involving Borwein{\textquoteright}s theta functions. As a practical example, we have computed the convolution sum of divisor functions, which exhibit a connection with Eisenstein series.",

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AU - Bhat, Smitha Ganesh

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AU - Badanidiyoor, Ashwath Rao

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N2 - The (p, k)-parametrization technique introduced by Alaca provides an alternative approach for formulating several new Eisenstein series identities involving Borwein’s theta functions. As a practical example, we have computed the convolution sum of divisor functions, which exhibit a connection with Eisenstein series.

AB - The (p, k)-parametrization technique introduced by Alaca provides an alternative approach for formulating several new Eisenstein series identities involving Borwein’s theta functions. As a practical example, we have computed the convolution sum of divisor functions, which exhibit a connection with Eisenstein series.

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SN - 1816-093X

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JO - Engineering Letters

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Some Eisenstein Identities Involving Borweins’ Cubic Theta Functions and Evaluation of Compound Convolution Sum

Abstract

All Science Journal Classification (ASJC) codes

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