Über Verallgemeinerte Bernoullische Zahlen und die Klassenzahl reell-quadratischer Zahlkörper
Nous étudions les extensions abéliennes d’un corps quadratique imaginaire et discutons les analogues des théorèmes de Mazur et Wiles.
Classical results of Rédei, Reichardt and Scholz show that unramified cyclic quartic extensions of quadratic number fields correspond to certain factorizations of its discriminant disc . In this paper we extend their results to unramified quaternion extensions of which are normal over , and show how to construct them explicitly.