黎曼Zeta搜索项目的计算结果

Norbert Tihanyi, A. Kovács
{"title":"黎曼Zeta搜索项目的计算结果","authors":"Norbert Tihanyi, A. Kovács","doi":"10.1109/SYNASC.2018.00024","DOIUrl":null,"url":null,"abstract":"The paper summarizes the computation results of the Riemann Zeta Search Project. The aim of the project was to find extremely large values of the Riemann zeta function on the critical line. The computing method is based on the RS-PEAK algorithm which was presented in the 16th SYNASC conference in 2014. The computation environment was served by the SZTAKI Desktop Grid operated by the Laboratory of Parallel and Distributed Systems at the Hungarian Academy of Sciences. Applying the RS-Peak algorithm 5597001 candidates were found where large values of the Riemann-Siegel Z-function are expected. The largest known values are presented and published on the project website https://www.riemann-siegel.com.","PeriodicalId":273805,"journal":{"name":"2018 20th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)","volume":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Computation Results of the Riemann Zeta Search Project\",\"authors\":\"Norbert Tihanyi, A. Kovács\",\"doi\":\"10.1109/SYNASC.2018.00024\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper summarizes the computation results of the Riemann Zeta Search Project. The aim of the project was to find extremely large values of the Riemann zeta function on the critical line. The computing method is based on the RS-PEAK algorithm which was presented in the 16th SYNASC conference in 2014. The computation environment was served by the SZTAKI Desktop Grid operated by the Laboratory of Parallel and Distributed Systems at the Hungarian Academy of Sciences. Applying the RS-Peak algorithm 5597001 candidates were found where large values of the Riemann-Siegel Z-function are expected. The largest known values are presented and published on the project website https://www.riemann-siegel.com.\",\"PeriodicalId\":273805,\"journal\":{\"name\":\"2018 20th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)\",\"volume\":\"35 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 20th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SYNASC.2018.00024\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 20th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SYNASC.2018.00024","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

本文总结了黎曼ζ搜索项目的计算结果。该项目的目的是在临界线上找到极大的黎曼ζ函数值。计算方法基于2014年第16届SYNASC会议上提出的RS-PEAK算法。计算环境由匈牙利科学院并行和分布式系统实验室运行的SZTAKI桌面网格提供服务。应用RS-Peak算法,发现了5597001个候选者,其中期望黎曼-西格尔z函数的大值。最大的已知值显示并发布在项目网站https://www.riemann-siegel.com上。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Computation Results of the Riemann Zeta Search Project
The paper summarizes the computation results of the Riemann Zeta Search Project. The aim of the project was to find extremely large values of the Riemann zeta function on the critical line. The computing method is based on the RS-PEAK algorithm which was presented in the 16th SYNASC conference in 2014. The computation environment was served by the SZTAKI Desktop Grid operated by the Laboratory of Parallel and Distributed Systems at the Hungarian Academy of Sciences. Applying the RS-Peak algorithm 5597001 candidates were found where large values of the Riemann-Siegel Z-function are expected. The largest known values are presented and published on the project website https://www.riemann-siegel.com.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信