A Note On Modular Equations Of Signature 2 And Their Evaluations

Belakavadi Radhakrishna Srivatsa Kumar; Arjun Kumar Rathie; Nagara Vinayaka Udupa Sayinath; Shruthi

doi:10.4134/CKMS.c200459

A Note On Modular Equations Of Signature 2 And Their Evaluations

Belakavadi Radhakrishna Srivatsa Kumar
, Arjun Kumar Rathie
, Nagara Vinayaka Udupa Sayinath^*
, Shruthi

^*Corresponding author for this work

Manipal Institute of Technology, Manipal

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

2 Citations (Scopus)

Abstract

In his notebooks, Srinivasa Ramanujan recorded several modular equations that are useful in the computation of class invariants, continued fractions and the values of theta functions. In this paper, we prove some new modular equations of signature 2 by well-known and useful theta function identities of composite degrees. Further, as an application of this, we evaluate theta function identities.

Original language	English
Pages (from-to)	31-43
Number of pages	13
Journal	Communications of the Korean Mathematical Society
Volume	37
Issue number	1
DOIs	https://doi.org/10.4134/CKMS.c200459
Publication status	Published - 2022

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.4134/CKMS.c200459

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abstract = "In his notebooks, Srinivasa Ramanujan recorded several modular equations that are useful in the computation of class invariants, continued fractions and the values of theta functions. In this paper, we prove some new modular equations of signature 2 by well-known and useful theta function identities of composite degrees. Further, as an application of this, we evaluate theta function identities.",

author = "Kumar, \{Belakavadi Radhakrishna Srivatsa\} and Rathie, \{Arjun Kumar\} and Sayinath, \{Nagara Vinayaka Udupa\} and Shruthi",

note = "Funding Information: The authors thank the referee for the valuable comments and suggestions for the detailed review which helped us to improve the presentation of the paper Publisher Copyright: {\textcopyright} 2022. Korean Mathematical Society",

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AU - Sayinath, Nagara Vinayaka Udupa

AU - Shruthi,

N1 - Funding Information: The authors thank the referee for the valuable comments and suggestions for the detailed review which helped us to improve the presentation of the paper Publisher Copyright: © 2022. Korean Mathematical Society

PY - 2022

Y1 - 2022

N2 - In his notebooks, Srinivasa Ramanujan recorded several modular equations that are useful in the computation of class invariants, continued fractions and the values of theta functions. In this paper, we prove some new modular equations of signature 2 by well-known and useful theta function identities of composite degrees. Further, as an application of this, we evaluate theta function identities.

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A Note On Modular Equations Of Signature 2 And Their Evaluations

Abstract

All Science Journal Classification (ASJC) codes

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