mertens-stack.md
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Mertens stack
- 2026-08-28 [Verified] Weighting the Farey stack by
mu(n)renders a Mertens-type sum at every node,Sum_{k <= N/b} mu(kb)ata/bandM(N)atb = 1, and the log-space power spectrum ofM(x)/sqrt(x)shows the first eight nontrivial zeta zeros, detected at13.94, 20.90, 24.97, 30.19, 32.52, 37.74, 40.64, 42.97against14.1347, 21.0220, 25.0109, 30.4249, 32.9351, 37.5862, 40.9187, 43.3271, errors0.04to0.42inside one bin of width0.5806; the zeros are known to far beyond any precision a moire can reach, so this is a rendering and not a measurement. Witness: lab/py/mertens-meter.