Darstellung total positiver ganzer algebraischer Zahlen als Summe N-freier Zahlen
Degeneration of polylogarithms and special values of -functions for totally real fields.
Density of discriminants of cubic extensions.
Die Berechnung von Zetafunktionen mit Vorzeichencharakter an der Stelle 1
Die Weilsche "Explizite Formel" und temperierte Distributionen.
Dihedral and cyclic extensions with large class numbers
This paper is a continuation of [2]. We construct unconditionally several families of number fields with large class numbers. They are number fields whose Galois closures have as the Galois groups, dihedral groups , , and cyclic groups , . We first construct families of number fields with small regulators, and by using the strong Artin conjecture and applying some modification of zero density result of Kowalski-Michel, we choose subfamilies such that the corresponding -functions are zero free...