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Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros

math.NT · 2025-07-05 · conditional · novelty 7.0

The joint moments of log ζ and a smoothed zero-counting function factorize into Gaussian moments, showing asymptotic independence.

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Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros math.NT · 2025-07-05 · conditional · none · ref 7
The joint moments of log ζ and a smoothed zero-counting function factorize into Gaussian moments, showing asymptotic independence.

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