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Hilbert's Tenth Problem for fields of rational functions over finite fields

✍ Scribed by Thanases Pheidas


Publisher
Springer-Verlag
Year
1991
Tongue
English
Weight
448 KB
Volume
103
Category
Article
ISSN
0020-9910

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πŸ“œ SIMILAR VOLUMES


Hilbert Class Field Towers of Function F
✍ Alexandre Temkine πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 184 KB

We obtain lower bounds for the asymptotic number of rational points of smooth algebraic curves over finite fields. To do this we construct infinite Hilbert class field towers with good parameters. In this way we improve bounds of Serre, Perret, and Niederreiter and Xing.