Authors
Citation
Y. Bugeaud, On some exponential diophantine equations, MONATS MATH, 132(2), 2001, pp. 93-97
Citations number
13
Categorie Soggetti
Mathematics
Journal title
MONATSHEFTE FUR MATHEMATIK
ISSN journal
00269255
→ ACNP
Volume
132
Issue
2
Year of publication
2001
Pages
93 - 97
Database
ISI
SICI code
0026-9255(2001)132:2<93:OSEDE>2.0.ZU;2-4
Abstract
We apply a new, deep result of Bilu, Hanrot and Voutier to solve completely
some exponential Diophantine equations of the type D(1)x(2) + D-2 = lambda
(2)y(p), where D-1, D-2 are given coprime positive integers, lambda is an
element of {1, 2}, and x, y, p greater than or equal to 3 are unknown.