Counting ideals in ray classes
Résumé
Let K be a number field and q an integral ideal in O K. A result of Tatuzawa [11] from 1973, computes the asymptotic (with an error term) for the number of ideals with norm at most x in a class of the narrow ray class group of K modulo q. This result bounds the error term with a constant whose dependence on q is explicit but dependence on K is not explicit. The aim of this paper is to prove this asymptotic with a fully explicit bound for the error term.
Domaines
Théorie des nombres [math.NT]Origine | Fichiers produits par l'(les) auteur(s) |
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