On some Schläfli type modular equations

On page 90 of his first notebook Ramanujan has recorded many Schl¨afli type modular equations. This article aims to give new and simple proof of Sch¨alflitype modular equation of degree 11 which was recorded by Ramanujan and a degree 23 modular equation. We use parametrization method to prove these modular equations.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-10-12
DOI
https://doi.org/10.5281/zenodo.13923235
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
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article

On some Schläfli type modular equations

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Identities
article

On some Schläfli type modular equations

article en

Abstract

On page 90 of his first notebook Ramanujan has recorded many Schl¨afli type modular equations. This article aims to give new and simple proof of Sch¨alflitype modular equation of degree 11 which was recorded by Ramanujan and a degree 23 modular equation. We use parametrization method to prove these modular equations.

Zenodo (CERN European Organization for Nuclear Research)
University of Mysore (IN)
Openalex Percentile: Top 42%
Advanced Mathematical Identities
DOIOpen Access PDFOpenAlex
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On some Schläfli type modular equations · Zenodo (CERN European Organization for Nuclear Research) (2024) | TGRS Research Map | TGRS