Formal framework explores zero distribution and positivity in Riemann zeta function analysis, implying deeper understanding of number theory.
We present a structured framework centered on the Weil explicit formula, a carefully specifiedadmissible test-function class, and a regularization scheme with controlled convergence. Themanuscript isolates a quadratic form arising from the explicit formula and studies a conditionalpositivity principle that serves as a formal criterion for the zero distribution of the Riemann zetafunction.
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Garrido DE (2026) studied this question.
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