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

University of Gothenburg

Chalmers, Mathematical Sciences, Algebra and geometry

Gautami Bhowmik

University of Lille

Dmitry Frolenkov

Natl Res Univ Higher Sch Econ

Russian Academy of Sciences

Nicole Raulf

University of Lille

Mathematika

0025-5793 (ISSN)

Vol. 65 3 743-762

Subject Categories

Probability Theory and Statistics

Control Engineering

Mathematical Analysis

DOI

10.1112/S002557931900010X

More information

Latest update

8/9/2019 9