• Corpus ID: 234470057

Geometric deduction of the solutions to modular equations

  title={Geometric deduction of the solutions to modular equations},
  author={Md. Shafiul Alam and Toshiyuki Sugawa},
In his notebooks, Ramanujan presented without proof many remarkable formulae for the solutions to generalized modular equations. Much later, proofs of the formulae were provided by making use of highly nontrivial identities for theta series and hypergeometric functions. We offer a geometric approach to the proof of those formulae. We emphasize that our proofs are geometric and independent of such identities. 

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