On the uniformity of distribution of Farey fractions
On the uniformity of distribution of Farey fractions
Let F x be the set of nonnegative rationals m\n with 0 < n < x and (m, n) = 1. For some fixed interval I ⊂ (0;+∞), I = (λ1;λ2) let F (u|x, I) = #(Fx ∩ (λ1;λ1 + u(λ2 - λ1))/#(Fx ∩ I). The paper deals with the …