Lower Bounds for Moments of Quadratic Twisted Self-dual GL(3) Central L-values

IF 0.8 3区数学 Q2 MATHEMATICS

Acta Mathematica Sinica-English Series Pub Date : 2023-11-15 DOI:10.1007/s10114-023-2009-x

Sheng Hao Hua, Bing Rong Huang

引用次数: 0

Abstract

In this paper, we prove the conjectured order lower bound for the k-th moment of central values of quadratic twisted self-dual GL(3) L-functions for all k ≥ 1, based on our recent work on the twisted first moment of central values in this family of L-functions.

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二次扭曲自对偶GL(3)中心l值的矩下界

本文在对二阶扭曲自对偶GL(3) l -函数族中心值的扭曲一阶矩的研究基础上，证明了对所有k≥1的二次扭曲自对偶GL(3) l -函数的中心值的k阶矩的猜想下界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mathematica Sinica-English Series 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

138

审稿时长

14.5 months

期刊介绍： Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.