La propriété des corps
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Guy Terjanian (1969/1970)
Séminaire de théorie des nombres de Bordeaux
Robert Gilmer (1972)
Aequationes mathematicae
Bruno Deschamps (2001)
Acta Arithmetica
Serge Lang (1958/1960)
Séminaire Bourbaki
Vladimír Kučera (1983)
Kybernetika
Kurt Girstmair (1999)
Acta Arithmetica
Gramlich, Ralf (2004)
Advances in Geometry
Jean-Marie Hasquenoph (1971/1972)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
Jean-Marie Hasquenoph (1971/1972)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
Stéphane Ballet, Robert Rolland (2012)
Journal de Théorie des Nombres de Bordeaux
We give lower bounds on the number of effective divisors of degree with respect to the number of places of certain degrees of an algebraic function field of genus defined over a finite field. We deduce lower bounds for the class number which improve the Lachaud - Martin-Deschamps bounds and asymptotically reaches the Tsfasman-Vladut bounds. We give examples of towers of algebraic function fields having a large class number.
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