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Th\'eor\`eme de Chebotarev effectif
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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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Cited by 1 Pith paper
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An effective version of Chebotarev's density theorem
A fully explicit refinement of Lagarias and Odlyzko's effective Chebotarev theorem for all non-rational number fields, with a sharper error term for small-degree extensions.
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