REMARKABLE ASSOCIATIONS AMONG THE INFINITE SERIES N(q) AND η-FUNCTIONS

Smitha Ganesh Bhat; B. Ashwath Rao; H. C. Vidya

REMARKABLE ASSOCIATIONS AMONG THE INFINITE SERIES N(q) AND η-FUNCTIONS

School of Computer Engineering

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

Abstract

This study aims to explore the relationships between Ramanujan-type Eisenstein series and the Borwein cubic theta functions, utilizing the (p, k)-parametrization technique proposed by Alaca, which provides a novel framework for deriving new Eisenstein series identities that include the Borwein theta functions. This paper presents fresh Eisenstein series identities involving Borwein’s cubic theta functions, obtained using the (p, k)-parametrization technique.

Original language	English
Pages (from-to)	17-30
Number of pages	14
Journal	Global and Stochastic Analysis
Volume	12
Issue number	2
Publication status	Published - 01-03-2025

All Science Journal Classification (ASJC) codes

Statistics and Probability
Discrete Mathematics and Combinatorics

Cite this

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abstract = "This study aims to explore the relationships between Ramanujan-type Eisenstein series and the Borwein cubic theta functions, utilizing the (p, k)-parametrization technique proposed by Alaca, which provides a novel framework for deriving new Eisenstein series identities that include the Borwein theta functions. This paper presents fresh Eisenstein series identities involving Borwein{\textquoteright}s cubic theta functions, obtained using the (p, k)-parametrization technique.",

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AU - Vidya, H. C.

PY - 2025/3/1

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N2 - This study aims to explore the relationships between Ramanujan-type Eisenstein series and the Borwein cubic theta functions, utilizing the (p, k)-parametrization technique proposed by Alaca, which provides a novel framework for deriving new Eisenstein series identities that include the Borwein theta functions. This paper presents fresh Eisenstein series identities involving Borwein’s cubic theta functions, obtained using the (p, k)-parametrization technique.

AB - This study aims to explore the relationships between Ramanujan-type Eisenstein series and the Borwein cubic theta functions, utilizing the (p, k)-parametrization technique proposed by Alaca, which provides a novel framework for deriving new Eisenstein series identities that include the Borwein theta functions. This paper presents fresh Eisenstein series identities involving Borwein’s cubic theta functions, obtained using the (p, k)-parametrization technique.

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ER -

REMARKABLE ASSOCIATIONS AMONG THE INFINITE SERIES N(q) AND η-FUNCTIONS

Abstract

All Science Journal Classification (ASJC) codes

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