Counting points of fixed degree and bounded height
Critère de reconnaissabilité de fonctions analytiques et fonctions entières arithmétiques
Derived categories and the analytic approach to general reciprocity laws. II.
Diamètres transfinis et problème de Favard
Tout entier algébrique irrationnel a deux conjugués éloignés d’au moins .
Die irreduziblen Zahlen des Bereichs Z [...-5].
Digital expansions in real algebraic quadratic fields.
Discrete self-similar multifractals with examples from algebraic number theory
Discriminants of Chebyshev radical extensions
Let be any integer and fix an odd prime . Let denote the -fold composition of the Chebyshev polynomial of degree shifted by . If this polynomial is irreducible, let , where is a root of . We use a theorem of Dedekind in conjunction with previous results of the author to give conditions on that ensure is monogenic. For other values of , we apply a result of Guàrdia, Montes, and Nart to obtain a formula for the discriminant of and compute an integral basis for the ring of integers...
Divisibility sequences and powers of algebraic integers.
Division-ample sets and the Diophantine problem for rings of integers
We prove that Hilbert’s Tenth Problem for a ring of integers in a number field has a negative answer if satisfies two arithmetical conditions (existence of a so-called division-ample set of integers and of an elliptic curve of rank one over ). We relate division-ample sets to arithmetic of abelian varieties.
Divisors in a Dedekind domain
Ein Beitrag zur Arithmetik der Bernoullischen Zahlen imaginär-quadratischer Zahlkörper.
Ein Kriterium für die algebraischen Zahlen
Ein v. Staudt-Clausenscher Satz für periodische Bernoullizahlen.
Eine Anwendung der Selbergschen Siebmethode in algebraischen Zahlkörpern
Eisenstein's theorem on power series expansions of algebraic functions
El Famoso Polinomio Generador De Primos De Euler Y El Numero De Clase De Los Cuerpos Cuadraticos Imaginarios.
Elimination theory for the ring of algebraic integers.
Ensembles de Julia et propriétés de localisation des entiers algbériques.
Entiers algébriques dont les conjugués sont proches du cercle unité