Let T(S) be a Teichmaller space of a hyperbolic Riemann surface S, viewed as a set of Teichmaller equivalence classes of Beltrami differentials on S. It is show
We obtain upper bounds for mixed exponential sums of the type S(x,f,pm) =bx)where pm is a prime power with m ≥ 2 and x is a multiplicative character 2(mod pm).
Large deviations for stochastic flow solutions to SDEs containing a small parameter are studied. The obtained results are applied to establish a Cp, r-large dev