Level-13 theta function identities of Ramanujan and applications

We give a new and simple proof of the three tredecic level theta function identities of Entry 8(i), Chapter 20 of Ramanujan’s Second Notebook by efficiently employing the quintuple product identity and Weierstrass three-term identity. Earlier this was pro

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Publication Details

Journal
Acta Arithmetica
Published
2025-01-01
DOI
https://doi.org/10.4064/aa240728-7-10
Citations
1
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
5.38
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article

Level-13 theta function identities of Ramanujan and applications

N. U. Prabhu, K. R. Vasuki
1 citations
Acta Arithmetica
Advanced Mathematical Identities
5.38
article

Level-13 theta function identities of Ramanujan and applications

N. U. Prabhu, K. R. Vasuki
article en
1 citations

Abstract

We give a new and simple proof of the three tredecic level theta function identities of Entry 8(i), Chapter 20 of Ramanujan’s Second Notebook by efficiently employing the quintuple product identity and Weierstrass three-term identity. Earlier this was pro

Acta ArithmeticaVol. 219(1)
University of Mysore (IN)
Openalex Percentile: Top 9%
Advanced Mathematical Identities
5.38
DOISourceOpenAlex
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Level-13 theta function identities of Ramanujan and applications — N. U. Prabhu, K. R. Vasuki · Acta Arithmetica (2025) | TGRS Research Map | TGRS