The order of magnitude of E|sum_{n≤x} h(n)λ(n)|^{2q} is determined for 0≤q≤1 where h is Steinhaus or Rademacher random multiplicative and λ comes from a fixed modular form.
Harper.The typical size of character and zeta sums iso( √x), https://arxiv.org/abs/2301.04390
2 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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Low moments of random multiplicative functions twisted by Fourier coefficients of modular forms
The order of magnitude of E|sum_{n≤x} h(n)λ(n)|^{2q} is determined for 0≤q≤1 where h is Steinhaus or Rademacher random multiplicative and λ comes from a fixed modular form.
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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.