For α in (1,2) the expected 2q-moment of the normalized sum of d_α(n) f(n) is bounded by (log x)^{2q(α-1)} over a power of log log x, uniformly for q up to 1/α.
arXiv preprint arXiv:2508.12956 , year =
3 Pith papers cite this work. Polarity classification is still indexing.
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Obtains unrestricted high-moment estimates and exponential tail bounds for sums of Rademacher multiplicative functions via martingales.
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Partial sums of random multiplicative functions with supercritical divisor twists
For α in (1,2) the expected 2q-moment of the normalized sum of d_α(n) f(n) is bounded by (log x)^{2q(α-1)} over a power of log log x, uniformly for q up to 1/α.
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A few notes on the asymptotic behavior of Rademacher random multiplicative functions
Obtains unrestricted high-moment estimates and exponential tail bounds for sums of Rademacher multiplicative functions via martingales.
- Escaping Chaos in Random Multiplicative Functions