The Journal of the Indian Mathematical Society

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On a Modular Equation of Degree 27


Affiliations
1 Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore-570 006, India
     

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On page 309 of his second notebook, Ramanujan has recorded a modular equation of composite degree 1, 3, 9, 27. B. C. Berndt has dis-proved the same and did not mention the correct one. The purpose of this paper is to establish the same.

Keywords

Theta Functions, Modular Equations.
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  • On a Modular Equation of Degree 27

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Authors

K. R. Vasuki
Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore-570 006, India
G. Sharath
Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore-570 006, India

Abstract


On page 309 of his second notebook, Ramanujan has recorded a modular equation of composite degree 1, 3, 9, 27. B. C. Berndt has dis-proved the same and did not mention the correct one. The purpose of this paper is to establish the same.

Keywords


Theta Functions, Modular Equations.