TY - JOUR

T1 - A Note On Modular Equations Of Signature 2 And Their Evaluations

AU - Kumar, Belakavadi Radhakrishna Srivatsa

AU - Rathie, Arjun Kumar

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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85125064038&partnerID=8YFLogxK

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U2 - 10.4134/CKMS.c200459

DO - 10.4134/CKMS.c200459

M3 - Article

AN - SCOPUS:85125064038

SN - 1225-1763

VL - 37

SP - 31

EP - 43

JO - Communications of the Korean Mathematical Society

JF - Communications of the Korean Mathematical Society

IS - 1

ER -