On $D_\ell$ extensions of odd prime degree $\ell$
COHEN, Henri
Institut de Mathématiques de Bordeaux [IMB]
Lithe and fast algorithmic number theory [LFANT]
Institut de Mathématiques de Bordeaux [IMB]
Lithe and fast algorithmic number theory [LFANT]
COHEN, Henri
Institut de Mathématiques de Bordeaux [IMB]
Lithe and fast algorithmic number theory [LFANT]
< Réduire
Institut de Mathématiques de Bordeaux [IMB]
Lithe and fast algorithmic number theory [LFANT]
Langue
en
Article de revue
Ce document a été publié dans
Proceedings of the London Mathematical Society. 2020, vol. 121, n° 5, p. 1171-1206
London Mathematical Society
Résumé en anglais
Generalizing the work of A. Morra and the authors, we give explicit formulas for the Dirichlet series generating function of $D_ℓ$-extensions of odd prime degree $ℓ$ with given quadratic resolvent. Over the course of our ...Lire la suite >
Generalizing the work of A. Morra and the authors, we give explicit formulas for the Dirichlet series generating function of $D_ℓ$-extensions of odd prime degree $ℓ$ with given quadratic resolvent. Over the course of our proof, we explain connections between our formulas and the Ankeny-Artin-Chowla conjecture, the Ohno-Nakagawa relation for binary cubic forms, and other topics.< Réduire
Projet Européen
Algorithmic Number Theory in Computer Science
Origine
Importé de halUnités de recherche