Théorème de Chebotarev effectif
Langue
fr
Document de travail - Pré-publication
Résumé en anglais
Let K be a number field, and L be a finite normal extension of K with Galois group G. It is known that the number of Frobenius automorphisms corresponding to prime ideals, whose norms are less than x, is equivalent to the ...Lire la suite >
Let K be a number field, and L be a finite normal extension of K with Galois group G. It is known that the number of Frobenius automorphisms corresponding to prime ideals, whose norms are less than x, is equivalent to the logarithmic integral as x tends to infinity, and these automorphisms are well-distributed among the conjugacy classes of G : this is the Chebotarev theorem. The purpose of this paper is to compute the absolute constants of the error term appearing in a previous work about this theorem, due to Lagarias and Odlyzko.< Réduire
Mots clés en anglais
prime ideals
chebotarev
density theorem
zeta-function
Origine
Importé de halUnités de recherche