Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4594631 | Journal of Number Theory | 2010 | 20 Pages |
Abstract
We show that the distance between en and its nearest integer is estimated below by e−cnlogn with c=15.727 for all sufficiently large integer n, which improves the earlier results due to Mahler, Mignotte and Wielonsky. Some basic properties on that distance are also discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory