• On the nonvanishing of someL-functions

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/097/01-03/0117-0155

    • Keywords

       

      L-function; automorphic representation; relative trace formula; Waldspurger result; metaplectic group

    • Abstract

       

      The non-vanishing, at the centre of symmetry, of theL-function attached to an automorphic representation of GL(2) or its twists by quadratic characters has been extensively investigated, in particular by Waldspurger. The purpose of this paper is to outline a new proof of Waldspurger’s results. The automorphic representations of GL(2) and its metaplectic cover are compared in two different ways; one way is by means of a “relative trace formula”; the relative trace formula presented here is actually a generalization of the work of Iwaniec.

    • Author Affiliations

       

      Hervé Jacquet1

      1. Department of Mathematics, Columbia University, New York, NY - 10027, USA
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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