Numerical Verification of the Brumer-Stark Conjecture
Résumé
We study the Brumer-Stark conjecture computationally in the simplest situation in which it is unproven: an extension K/k with k quadratic, Gal(K/k) isomorphic to ℤ/4ℤ, the class group of K non trivial, K/ℚ non Galois. We verify the conjecture in 379 such cases and study the problem of whether the power of 2 dividing the Brumer element can be replaced by a lower 2-power so that the result remains true.
Domaines
Théorie des nombres [math.NT]
Origine : Fichiers produits par l'(les) auteur(s)
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