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.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
verdicts
UNVERDICTED 2representative citing papers
In angle-dependent 2D branching Brownian motion with b(θ) = 1 - β|θ|^α + O(θ²) near θ=0 for α ∈ (2/3,2), the maximum M_t satisfies that M_t - m(t) is tight with m(t) = √2 t - (ϑ₁/√2) t^{(2-α)/(2+α)} - c log t, where ϑ₁ comes from the first eigenvalue of an associated operator.
citing papers explorer
-
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.
-
Polynomial slowdown in an angle-dependent 2d branching Brownian motion
In angle-dependent 2D branching Brownian motion with b(θ) = 1 - β|θ|^α + O(θ²) near θ=0 for α ∈ (2/3,2), the maximum M_t satisfies that M_t - m(t) is tight with m(t) = √2 t - (ϑ₁/√2) t^{(2-α)/(2+α)} - c log t, where ϑ₁ comes from the first eigenvalue of an associated operator.