Théorème de Chebotarev effectif

Bruno Winckler 1
1 Équipe Théorie des Nombres
IMB - Institut de Mathématiques de Bordeaux
Abstract : 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.
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Submitted on : Thursday, November 21, 2013 - 11:26:43 AM
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Bruno Winckler. Théorème de Chebotarev effectif. 2013. ⟨hal-00907410⟩



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