A MEAN VALUE RESULT FOR A PRODUCT OF GL(2) AND GL(3) L-FUNCTIONS

: Olga Balkanova, Gautami Bhowmik, Dmitry Frolenkov, Nicole Raulf

Publisher: LONDON MATH SOC

: Lontoo

: 2019

: Mathematika

: MATHEMATIKA

: 65

: 3

: 743

: 762

: 20

: 0025-5793

: 2041-7942

DOI: https://doi.org/10.1112/S002557931900010X

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.