{"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}
引用次数: 0
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.
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