Lower bounds for moments of quadratic twisted self-dual $\textrm{GL}(3)$ central $L$-values

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Hauptverfasser: Hua, Shenghao, Huang, Bingrong
Format: Preprint
Veröffentlicht: 2022
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author Hua, Shenghao
Huang, Bingrong
author_facet Hua, Shenghao
Huang, Bingrong
contents In this paper, we prove the conjectured order lower bound for the $k$-th moment of central values of quadratic twisted self-dual $\textrm{GL}(3)$ $L$-functions for all $k\geq 1$, based on our recent work on the twisted first moment of central values in this family of $L$-functions.
format Preprint
id arxiv_https___arxiv_org_abs_2201_00120
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Lower bounds for moments of quadratic twisted self-dual $\textrm{GL}(3)$ central $L$-values
Hua, Shenghao
Huang, Bingrong
Number Theory
In this paper, we prove the conjectured order lower bound for the $k$-th moment of central values of quadratic twisted self-dual $\textrm{GL}(3)$ $L$-functions for all $k\geq 1$, based on our recent work on the twisted first moment of central values in this family of $L$-functions.
title Lower bounds for moments of quadratic twisted self-dual $\textrm{GL}(3)$ central $L$-values
topic Number Theory
url https://arxiv.org/abs/2201.00120