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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math.NT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A modified CFKRS recipe correctly predicts the secondary main term in the second moment of Dirichlet L-functions along cosets by incorporating the non-independence of root numbers and coefficients.
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Escaping Chaos in Random Multiplicative Functions
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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Remarks on the distribution of Dirichlet $L$-functions along cosets
A modified CFKRS recipe correctly predicts the secondary main term in the second moment of Dirichlet L-functions along cosets by incorporating the non-independence of root numbers and coefficients.