Convolution formula for the sums of generalized Dirichlet L-functions
Journal article, 2019
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.
Prime geodesic theorem
Generalized Dirichlet L-functions
Kuznetsov trace formula
Generalized Kloosterman sums
Symmetric square L-functions
Author
Olga Balkanova
Chalmers, Mathematical Sciences, Algebra and geometry
University of Gothenburg
Dmitry Frolenkov
Russian Academy of Sciences
Revista Matematica Iberoamericana
0213-2230 (ISSN) 22350616 (eISSN)
Vol. 35 7 1973-1995Roots
Basic sciences
Subject Categories
Geometry
Discrete Mathematics
Mathematical Analysis
DOI
10.4171/RMI/1106