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Escaping Chaos in Random Multiplicative Functions

math.NT · 2026-05-20 · unverdicted · novelty 7.0

Proves that sum of Steinhaus random multiplicative function over A converges to CN(0,1) only if |A|=o(N), with sharpness for most sets of density ρ where (1-ρ)^{-1}=o((log log N)^{1/2}).

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