All critical zeros lie on the line Re(s) = 1/2

All critical zeros lie on the line Re(s) = 1/2 | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 14 February 2025 V1 Latest version Share on All critical zeros lie on the line Re(s) = 1/2 Author : Manuel Ortigueira 0000-0003-4270-3284 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.173952723.32603134/v1 311 views 121 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract The Riemann hypothesis is considered and validated in this paper. For that purpose a multipoint Taylor series is used to obtain a series representation around the four inter-related zeroes. This series allows getting a new equation whose solutions are the searched zeroes. It is shown that this equation only has solutions on the critical line. Supplementary Material File (zeta_w.pdf) Download 190.16 KB Information & Authors Information Version history V1 Version 1 14 February 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords multipoint taylor series riemann conjecture zeta function Authors Affiliations Manuel Ortigueira 0000-0003-4270-3284 [email protected] Universidade Nova de Lisboa Centro de Tecnologias e Sistemas View all articles by this author Metrics & Citations Metrics Article Usage 311 views 121 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Manuel Ortigueira. All critical zeros lie on the line Re(s) = 1/2. Authorea . 14 February 2025. DOI: https://doi.org/10.22541/au.173952723.32603134/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . 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