Some P-Q eta function identities

  • Unique Paper ID: 171053
  • Volume: 2
  • Issue: 5
  • PageNo: 244-249
  • Abstract:
  • In unorganized portion of his second note book [3], Ramanujan recorded twenty-three results on P-Q eta function identities or modular equations. These are the identities involving the quotients of eta-function which are designated by P or Q by Ramanujan. Berndt [2] established proof of 18 of these identities by employing theory of theta functions in the spirit of Ramanujan and remaining 5 by employing the theory of modular forms. These modular equations play important role in the explicit evaluations of continued fractions and Class Invariants. In this paper we deduce certain P-Q modular equations and using these modular equations we obtain the values of Class Invariants.

Cite This Article

  • ISSN: 2349-6002
  • Volume: 2
  • Issue: 5
  • PageNo: 244-249

Some P-Q eta function identities

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