A FULLY INVERTIBLE GLOBAL ANALYTIC MODEL OF THE RIEMANN ZETA FUNCTION

17 October 2025, Version 4
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

This paper introduces a novel analytic framework to study the distribution of non-trivial zeros of the Riemann zeta function. By constructing a specialized atomic system in the Hardy space H2(C+), we prove that ζ(ρ) does not vanish in any compact region away from the critical line. This result provides new insights into the behavior of zeta zeros, independent of the Riemann Hypothesis.

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