A1 Refereed original research article in a scientific journal
A MEAN VALUE RESULT FOR A PRODUCT OF GL(2) AND GL(3) L-FUNCTIONS
Authors: Olga Balkanova, Gautami Bhowmik, Dmitry Frolenkov, Nicole Raulf
Publisher: LONDON MATH SOC
Publishing place: Lontoo
Publication year: 2019
Journal: Mathematika
Journal name in source: MATHEMATIKA
Journal acronym: MATHEMATIKA
Volume: 65
Issue: 3
First page : 743
Last page: 762
Number of pages: 20
ISSN: 0025-5793
eISSN: 2041-7942
DOI: https://doi.org/10.1112/S002557931900010X
Abstract
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.
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.
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