A MEAN VALUE RESULT FOR A PRODUCT OF GL(2) AND GL(3) L-FUNCTIONS
Journal article, 2019
In this paper various analytic techniques are combined in order to study the average of a product of a Hecke L-function and a symmetric square L-function at the central point in the weight aspect. The evaluation of the second main term relies on the theory of Maass forms of half-integral weight and the Rankin-Selberg method. The error terms are bounded using the Liouville-Green approximation.
Author
Olga Balkanova
University of Turku
Chalmers, Mathematical Sciences, Algebra and geometry
University of Gothenburg
Gautami Bhowmik
University of Lille
Dmitry Frolenkov
Russian Academy of Sciences
National Research University Higher School of Economics
Nicole Raulf
University of Lille
Mathematika
0025-5793 (ISSN) 20417942 (eISSN)
Vol. 65 3 743-762Subject Categories
Probability Theory and Statistics
Control Engineering
Mathematical Analysis
DOI
10.1112/S002557931900010X