A Note On Modular Equations Of Signature 2 And Their Evaluations

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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.

Original languageEnglish
Pages (from-to)31-43
Number of pages13
JournalCommunications of the Korean Mathematical Society
Volume37
Issue number1
DOIs
Publication statusPublished - 2022

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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