• Title of article

    On some of Ramanujanʹs Schläfli-type “mixed” modular equations Original Research Article

  • Author/Authors

    Nayandeep Deka Baruah، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2003
  • Pages
    25
  • From page
    270
  • To page
    294
  • Abstract
    We give elementary proofs of seven Schläfli-type “mixed” modular equations recorded by Ramanujan on p. 86 of his first notebook. Previously, these equations were proved by Berndt by using the theory of modular forms. In the process, we also found three new Schläfli-type mixed modular equations of the same nature.
  • Keywords
    Theta-functions , Modular equations , multipliers
  • Journal title
    Journal of Number Theory
  • Serial Year
    2003
  • Journal title
    Journal of Number Theory
  • Record number

    715464