Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897120 | Journal of Number Theory | 2018 | 12 Pages |
Abstract
Let a,b,c be fixed coprime positive integers with minâ¡{a,b,c}>1. In this paper, combining the Gel'fond-Baker method with an elementary approach, we prove that if maxâ¡{a,b,c}>5Ã1027, then the equation ax+by=cz has at most three positive integer solutions (x,y,z).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yongzhong Hu, Maohua Le,