Dominant Angular Control and the Riemann Hypothesis: A Proposal for Confirming the Conjecture

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Abstract

The Riemann Hypothesis requires no introduction. It remains one of the most formidable open problems in mathematics, famously categorized as Hilbert's eighth problem. It carries a profound significance, bridging the realm of natural numbers with the density and distribution of primes, as established by its equivalence with the Euler product. Its non-trivial zeros within the complex domain characterize the existential distribution of prime numbers, as well as their gaps and structural requirements. This work respectfully submits a geometric zero-exclusion proposal that aligns with established numerical and heuristic results, corroborating Riemann's original proposition. A pair-based proof is presented for verification.
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Dominant Angular Control and the Riemann Hypothesis: A Proposal for Confirming the Conjecture | 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 Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed.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. 10 April 2026 V1 Latest version Share on Dominant Angular Control and the Riemann Hypothesis: A Proposal for Confirming the Conjecture Author : Rodolfo Carneiro Moroz 0009-0007-7014-552X [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.177584854.45452566/v1 63 views 33 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract The Riemann Hypothesis requires no introduction. It remains one of the most formidable open problems in mathematics, famously categorized as Hilbert's eighth problem. It carries a profound significance, bridging the realm of natural numbers with the density and distribution of primes, as established by its equivalence with the Euler product. Its non-trivial zeros within the complex domain characterize the existential distribution of prime numbers, as well as their gaps and structural requirements. This work respectfully submits a geometric zero-exclusion proposal that aligns with established numerical and heuristic results, corroborating Riemann's original proposition. A pair-based proof is presented for verification. Supplementary Material File (article-hr.pdf) Download 163.33 KB Information & Authors Information Version history V1 Version 1 10 April 2026 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords geometric analysis number theory riemann hypothesis trigonometric analysis Authors Affiliations Rodolfo Carneiro Moroz 0009-0007-7014-552X [email protected] Eletronics Engineer -Independent Researcher View all articles by this author Metrics & Citations Metrics Article Usage 63 views 33 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Rodolfo Carneiro Moroz. Dominant Angular Control and the Riemann Hypothesis: A Proposal for Confirming the Conjecture. Authorea . 10 April 2026. 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