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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math.NT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Establishes sharp lower bounds matching prior upper bounds for moments of short character sums, zeta sums, and twisted sums with multiplicative weights, for x up to r^0.499.
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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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Lower bounds for low moments of character sums, I: Short sums with general multiplicative weights
Establishes sharp lower bounds matching prior upper bounds for moments of short character sums, zeta sums, and twisted sums with multiplicative weights, for x up to r^0.499.