A MEAN VALUE RESULT FOR A PRODUCT OF GL(2) AND GL(3) L-FUNCTIONS
Artikel i vetenskaplig tidskrift, 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.
Författare
Olga Balkanova
Turun Yliopisto
Chalmers, Matematiska vetenskaper, Algebra och geometri
Göteborgs universitet
Gautami Bhowmik
Université de Lille
Dmitry Frolenkov
Russian Academy of Sciences
National Research University Higher School of Economics
Nicole Raulf
Université de Lille
Mathematika
0025-5793 (ISSN) 20417942 (eISSN)
Vol. 65 3 743-762Ämneskategorier
Sannolikhetsteori och statistik
Reglerteknik
Matematisk analys
DOI
10.1112/S002557931900010X