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Fractions Continues Multidimensionnelles

Fractions Continues Multidimensionnelles

          
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About the Book

L'objectif de ce livre est l'étude métrique et combinatoire des fractions continues multidimensionelles dans le cas des séries formelles. Elle comporte deux parties 1-On démontre la convergence forte et exponentielle de l'algorithme de Jacobi- Perron ( version homogène) dans le cas de séries formelles. On donne des résultats analogues pour la version de Dubois de cet algorithme. Dans la mème direction, on prouve que la convergence de l'algorithme de Brun n'est pas exponentielle. 2-On étudie la relation entre les polynômes irréductibles et les éléments de Pisot dans le cas des séries formelles tout en déterminant le nombre de ces éléments en fonction du degré et de la hauteur logarithmique. Par conséquent, on donne une minoration du nombre des polynômes irréductibles à deux variables sur un corps fini. Mots-clef: Séries formelles sur un corps fini, fractions continues multidimensionnelles, algorithme de Jacobi-Perron, algorithme de Brun, convergence, polynômes irréductibles, séries de Pisot.


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Product Details
  • ISBN-13: 9783838180540
  • Publisher: Univ Europeenne
  • Binding: Paperback
  • Language: French
  • Returnable: N
  • Spine Width: 5 mm
  • Width: 152 mm
  • ISBN-10: 3838180542
  • Publisher Date: 28 Feb 2018
  • Height: 229 mm
  • No of Pages: 80
  • Series Title: Omn.Univ.Europ.
  • Weight: 131 gr


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