An upper bound is provided for the gacd of (u-1,v-1), u,v being S-units of a number field. Our estimates constitue a solution of a particular case of Vojta's main conjecture in Diophantine approximation.
A lower bound for the height of a rational function at $S$-unit points
CORVAJA, Pietro;
2005-01-01
Abstract
An upper bound is provided for the gacd of (u-1,v-1), u,v being S-units of a number field. Our estimates constitue a solution of a particular case of Vojta's main conjecture in Diophantine approximation.File in questo prodotto:
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