Th\'eor\`eme de Chebotarev effectif

Autor: Winckler, Bruno
Jazyk: francouzština
Rok vydání: 2013
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: in French
Databáze: arXiv