New modular equations of signature three in the spirit of Ramanujan

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Abstract

Srinivasa Ramanujan recorded many modular equations in his notebooks, which 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 three by using theta function identities of composite degrees.

Original languageEnglish
Pages (from-to)2847-2868
Number of pages22
JournalFilomat
Volume34
Issue number9
DOIs
Publication statusPublished - 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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