{"title":"二次扭曲自对偶GL(3)中心l值的矩下界","authors":"Sheng Hao Hua, Bing Rong Huang","doi":"10.1007/s10114-023-2009-x","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we prove the conjectured order lower bound for the <i>k</i>-th moment of central values of quadratic twisted self-dual GL(3) <i>L</i>-functions for all <i>k</i> ≥ 1, based on our recent work on the twisted first moment of central values in this family of <i>L</i>-functions.</p></div>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2023-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Lower Bounds for Moments of Quadratic Twisted Self-dual GL(3) Central L-values\",\"authors\":\"Sheng Hao Hua, Bing Rong Huang\",\"doi\":\"10.1007/s10114-023-2009-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we prove the conjectured order lower bound for the <i>k</i>-th moment of central values of quadratic twisted self-dual GL(3) <i>L</i>-functions for all <i>k</i> ≥ 1, based on our recent work on the twisted first moment of central values in this family of <i>L</i>-functions.</p></div>\",\"PeriodicalId\":50893,\"journal\":{\"name\":\"Acta Mathematica Sinica-English Series\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-11-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mathematica Sinica-English Series\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10114-023-2009-x\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Sinica-English Series","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10114-023-2009-x","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
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。
Lower Bounds for Moments of Quadratic Twisted Self-dual GL(3) Central L-values
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.
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.