The article uses a generalization of the structure of sequences appearing on the continued fraction development of algebraic numbers given by the markoff theory. Thanks to Dedekind sums and their reciprocity law, these sequences give birth to new diophantine equations and a solution for them. Their
Fractions continues—Sommes de dedekind et formes quadratiques
✍ Scribed by P. Barrucand; M. Duboué
- Book ID
- 112908139
- Publisher
- Springer Milan
- Year
- 1984
- Tongue
- Italian
- Weight
- 608 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0009-725X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
requête no. 2100-065128.01/1 formulée par E. Bayer-Fluckiger ainsi que par l'OFES (no. 01.0360) dans le cadre du projet GTEM : Galois theory and explicit methods in arithmetic, HPRN-CT-2000-00114.
Nous conside rons les suites codant l'orbite, sous l'action d'une rotation d'angle irrationnel, d'un point du cercle unite de coupe en deux intervalles. Dans le cas ouÁ les longueurs des intervalles sont supe rieures ou e gales aÁ l'angle de rotation, nous montrons que le langage d'un tel codage peu
We give a unified orbital decomposition for irreducible, regular, prehomogeneous vector spaces of parabolic type graded by strongly orthogonal roots of same length, with one-dimensional corresponding root space, on a local or global field of characteristic 0, in terms of a class of quadratic forms r