Article ID Journal Published Year Pages File Type
4594889 Journal of Number Theory 2009 9 Pages PDF
Abstract

We consider the question of approximating any real number α by sums of n rational numbers with denominators 1⩽q1,q2,…,qn⩽N. This leads to inquiries on approximating a real number by rational numbers with a prescribed number of prime factors in the denominator as well as by rational numbers with smooth denominator.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory