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An upper bound for the number of solutions of ternary purely exponential diophantine equations.
- Source :
-
Journal of Number Theory . Feb2018, Vol. 183, p62-73. 12p. - Publication Year :
- 2018
-
Abstract
- Let a , b , c be fixed coprime positive integers with min { a , b , c } > 1 . In this paper, combining the Gel'fond–Baker method with an elementary approach, we prove that if max { a , b , c } > 5 × 10 27 , then the equation a x + b y = c z has at most three positive integer solutions ( x , y , z ) . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 183
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 125836500
- Full Text :
- https://doi.org/10.1016/j.jnt.2017.07.004