Proves that (1/φ(q)) ∑_χ |∑_{n≤x, P(n)≤y} χ(n)| = o(√Ψ(x,y)) for (log x)^6 ≤ y ≤ x^{1/(32 log log x)} and q ≥ x^{1+ε}.
Helson’s conjecture for smooth numbers
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Character sums over smooth numbers
Proves that (1/φ(q)) ∑_χ |∑_{n≤x, P(n)≤y} χ(n)| = o(√Ψ(x,y)) for (log x)^6 ≤ y ≤ x^{1/(32 log log x)} and q ≥ x^{1+ε}.