Show simple item record

dc.contributor.authorABOUZAID, Mourad
dc.date2006-07-03
dc.date.accessioned2021-01-13T14:03:10Z
dc.date.available2021-01-13T14:03:10Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/25212
dc.description.abstractEnThe first chapter of this thesis is about Lucas' and Lehmer's sequences. It is known that from rank 30 every Lucas' number (resp. Lehmer?s number) has a 'new' prime divisor. In this first chapter, we complete the list of pathological cases, began by P.M. VOUTIER, Yu. BILU and G. HANROT. In the second chapter we recall some definitions and proprietes of Weil's logarithmic heights and Puiseux' series. We use these in the two last chapter, in which we give explicite bound for the Weil?s height of algebraic solutions for some groups of diophantine equations. The third chapter is about a generalization and an improvement of Walsh' results on Skolem?s diophantine problem. In the last chapter, we give explicite bounds for the Weil's height of S-integral solutions of some generalization of Thue's famous equations.
dc.formatapplication/pdf
dc.rightsfree
dc.subjectMathématiques Pures
dc.subjectLucas' numbers,
dc.subjectLehmer's number
dc.subjectWeil height
dc.subjectPuiseux' series,
dc.subjectdiophantine equations,
dc.subjectSkolem's problem
dc.subjectThue's equations
dc.titleAspects effectifs d'analyse diophantienne
dc.typeThèses de doctorat
bordeaux.hal.laboratoriesThèses Bordeaux 1 Ori-Oai*
bordeaux.institutionUniversité de Bordeaux
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.title=Aspects%20effectifs%20d'analyse%20diophantienne&rft.atitle=Aspects%20effectifs%20d'analyse%20diophantienne&rft.au=ABOUZAID,%20Mourad&rft.genre=unknown


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record