Ramanujan and dirichlet series with euler products

  • S. S. Rangachari


Ramanujan, in his unpublished manuscripts, had written down without proof, explicit linear combinations of cusp forms whose Mellin transforms possess Euler products in the sense of Hecke.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.


Dirichlet scries Euler products Ramanujan’s work 


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Copyright information

© Indian Academy of Sciences 1982

Authors and Affiliations

  • S. S. Rangachari
    • 1
  1. 1.School of MathematicsTata Institute of Fundamental ResearchBombayIndia

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