## Asymptotic formula, polynomial, irrational number and uniformly distribution

Problem 1 Given a irrational number α and two polynomials with positive integer coefficients P(n),Q(n), is it possible to get the asymptotic estimate and reasonable error term for: lim In the case when Q(n)=an+b, by Weyl method or van der curput trick it is not difficult to establish such a estimate at least for the … Read more