On the behaviour close to the unit circle of the power series with Möbius function coefficients
Oleg Petrushov (2014)
Acta Arithmetica
Similarity:
Let . We prove that for each root of unity there is an a > 0 such that as r → 1-. For roots of unity e(l/q) with q ≤ 100 we prove that these omega-estimates are true with a = 1/2. From omega-estimates for (z) we obtain omega-estimates for some finite sums.