Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4594889 | Journal of Number Theory | 2009 | 9 Pages |
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