• On Ramanujan’s modular identities

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      https://www.ias.ac.in/article/fulltext/pmsc/097/01-03/0263-0276

    • Keywords

       

      Ramanujan’s modular identities; partition congruences; modular forms

    • Abstract

       

      For Ramanujan’s modular identities connected with his well-known partition congruences for the moduli 5 or 7, we had given, in an earlier paper, natural and uniform proofs through the medium of modular forms. Analogous (modular) identities corresponding to the (more difficult) case of the modulus 11 are provided here, with the consequent partition congruences; the relationship with relevant results of N J Fine is also sketched.

    • Author Affiliations

       

      S Raghavan1

      1. School of Mathematics, Tata Institute of Fundamental Research, Bombay - 400005, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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