Convolution formula for the sums of generalized Dirichlet L-functions

• Olga Balkanova ^[1] ; Dmitry Frolenkov ^[2]
  1. [1] Chalmers University of Technology

     Chalmers University of Technology

     Suecia

     
  2. [2] Khabarovsk Division of the Institute for Applied Mathematics and Steklov Mathematical Institute, Moscow
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 35, Nº 7, 2019, págs. 1973-1995
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • Using the Kuznetsov trace formula, we prove a spectral decomposition for the sums of generalized Dirichlet L-functions. Among applications are an explicit formula relating norms of prime geodesics to moments of symmetric square L-functions and an asymptotic expansion for the average of central values of generalized Dirichlet L-functions.