Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595206 | Journal of Number Theory | 2007 | 9 Pages |
Abstract
Given N⩾2 positive integers a1,a2,…,aN with GCD(a1,…,aN)=1, let fN denote the largest natural number which is not a positive integer combination of a1,…,aN. This paper gives an optimal lower bound for fN in terms of the absolute inhomogeneous minimum of the standard (N−1)-simplex.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory