Some identities on Schläfli-type mixed modular equations

B. R. Srivatsa Kumar, B. Sowmya Navada and Ranjani Nayak
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 21, 2015, Number 1, Pages 86–91
Full paper (PDF, 139 Kb)

Details

Authors and affiliations

B. R. Srivatsa Kumar
Department of Mathematics, Manipal Institute of Technology
Manial University, Manipal – 576 104, India

B. Sowmya Navada
Department of Sciences, Manipal University
Manipal – 576 104, India

Ranjani Nayak
Department of Sciences, Manipal University
Manipal – 576 104, India

Abstract

Srinivasa Ramanujan has recorded eleven Schläfli-type mixed modular equations on p. 86 of his first notebook. Using some of these in this paper, we obtain some new identities of the same type by using Maple.

Keywords

• Theta-functions
• Modular equations

AMS Classification

• Primary: 11B65, 33D10
• Secondary: 11F27

References

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