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Zeroes of Riemann's zeta function on the critical line with 40000 decimal digits accuracy

Beliakov, Gleb and Matiyasevich, Yuri 2013, Zeroes of Riemann's zeta function on the critical line with 40000 decimal digits accuracy [data collection], doi: 10.4225/16/524A0865C670D.

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beliakov-summary-2013.pdf Dataset summary application/pdf 31.17KB 69

Field of Research 010111 Real and Complex Functions (incl. Several Variables)
Socio Economic Objective 970101 Expanding Knowledge in the Mathematical Sciences
Type of research activity Applied research
Name of data collection Zeroes of Riemann's zeta function on the critical line with 40000 decimal digits accuracy
Creator(s) Beliakov, GlebORCID iD for Beliakov, Gleb orcid.org/0000-0002-9841-5292
Matiyasevich, Yuri
Date completed 2013-10-01
ANDS collection type dataset
Collection start date 2013-02-27
Collection end date 2013-06-01
Description of resource 1 text file, 13200 items, Dataset automatically generated using Python and packages MPmath version 0.17 and gmpy version 2.1
Keyword(s) Riemann's zeta function
Riemann's zeroes
8th Hilbert problem
Language eng
Summary The project aims at computing Riemann's zeroes with high accuracy through an analysis of large determinants using Matyasievich's Artless method. Location of Riemann's zeroes is the famous 8th Hilbert problem, and one of Clay's Institute millennium problems.
Contact details (email) gleb@deakin.edu.au
Contact details (physical) Beliakov, Gleb
Copyright notice ┬ęCopyright Act 1968
Access conditions There is no access restriction currently applied to the research data.
DOI 10.4225/16/524A0865C670D
Persistent URL http://hdl.handle.net/10536/DRO/DU:30056270
Related URL description Andrew Odlyzko: Tables of zeros of the Riemann zeta function
Dataportal

Document type: Data Collection
Collections: Datasets collection
Open Access Collection
 
Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved.

Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.

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Created: Tue, 01 Oct 2013, 10:00:00 EST

Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.