• Ramanujan and dirichlet series with euler products

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    • Keywords


      Dirichlet scries; Euler products; Ramanujan’s work

    • Abstract


      Ramanujan, in his unpublished manuscripts, had written down without proof, explicit linear combinations of cusp forms whose Mellin transforms possess Euler products in the sense of Hecke. All these results are proved here and their connection with the work of Hecke, Rankin and Serre is pointed out.

    • Author Affiliations


      S S Rangachari1

      1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay - 400 005, India
    • Dates

  • Proceedings – Mathematical Sciences | News

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