Power moments of automorphic L-functions related to Maass forms for SL3(ℤ)

Let ff be a self-dual Hecke-Maass eigenform for the group SL3(Z)S{L}_{3}\left({\mathbb{Z}}). For 12<σ<1\frac{1}{2}\lt \sigma \lt 1 fixed we define m(σ)m\left(\sigma ) (≥2\ge 2) as the supremum of all numbers mm such that ∫1T∣L(s,f)∣mdt≪f,εT1+ε,\underset{1}{\overset{T}{\int }}| L\left(s,f){| }^...

Full description

Bibliographic Details
Main Authors: Huang Jing, Liu Huafeng, Zhang Deyu
Format: Article
Language:English
Published: De Gruyter 2021-08-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2021-0076