A Set of Non-Oscillatory Recurrence Relations for Exact Non-Trivial Riemann Zero's

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Authors: Matthew William Pidlysny
Cited by: 0

Abstract

The documents detail the findings of the past 2 years or more. The Functions themselves generate a number exactly matching the Non-Trivial Riemann Zero's, thanks to critical value co-efficients used in sequence with a pair of Logarithms that satisfy the Newtonian Iteration method. I conclude that by generation of exact zero's without any oscillation required to match it, the Riemann Hypothesis is as good as confirmed, pending peer review. I have generated a file with the Trillionth Non-Trivial Zero using said method.

Fields of Study & Subjects

Analytic Number Theory Research Advanced Mathematical Identities Mathematical and Computational Methods

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
20 January 2026
Document type
Thesis