On distribution of points with conjugate algebraic integer coordinates close to planar curves

Abstract

Let ϕ : R → R be a continuously differentiable function on an interval J ⊂ R and let α = (α 1 , α 2 ) be a point with algebraic conjugate integer coordinates of degree ≤ n and of height ≤ Q. Denote byIn this paper we show that for a real 0 < γ < 1 and any sufficiently large