• On Zagier’s cusp form and the Ramanujan τ function

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      https://www.ias.ac.in/article/fulltext/pmsc/104/01/0093-0098

    • Keywords

       

      Ramanujan tau function; cusp forms

    • Abstract

       

      Zagier constructed a cusp form for each weightk of the full modular group. We use this construction to estimate Fourier coefficients of cusp forms. In particular, we get a non-trivial estimate, by elementary methods and indicate a relationship with the Lindelof hypothesis for classical Dirichlet L-functions.

    • Author Affiliations

       

      Ashwaq Hashim1 M Ram Murty1

      1. Department of Mathematics, McGill University, Montreal - H3A 2K6, Canada
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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