The model reveals the non-vanishing of zeta function zeros away from the critical line, suggesting new analytical insights.
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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Sui Qing (2025) studied this question.
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