Article ID Journal Published Year Pages File Type
4594631 Journal of Number Theory 2010 20 Pages PDF
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