ON THE ESTIMATION OF NONLINEAR TWISTS OF THE LIOUVILLE FUNCTION

摘要

We prove a nontrivial upper bound for the quantity (with e (z) = e~(2πiz)), |Σ_(X≤n≤2X)λ(n)e(αn~1/2),| where a is any nonzero real number. This upper bound is an improvement of the earlier known results.