Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595292 | Journal of Number Theory | 2008 | 13 Pages |
Abstract
We generalize Dirichlet's diophantine approximation theorem to approximating any real number α by a sum of two rational numbers with denominators 1⩽q1,q2⩽N. This turns out to be related to the congruence equation problem with 1⩽x,y⩽q1/2+ϵ.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory