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
DOI: 10.4171/rmi/1106
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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.