Primes of degree one and algebraic cases of Čebotarev's theorem

zbMath0744.11056MaRDI QIDQ1179588

Hendrik W. jun. Lenstra, Peter Stevenhagen

Publication date: 26 June 1992

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

zbMATH Keywords

prime idealsseparable field extensionDedekind domainChebotarev density theoremclass field theoryray class groupsideal class-groupsplitting primes

Mathematics Subject Classification ID

Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Density theorems (11R45) Distribution of prime ideals (11R44) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (5)

Distribution of prime ideals of higher residue degree across ideal classes in the class groups ⋮ Representatives of similarity classes of matrices over PIDs corresponding to ideal classes ⋮ David Hilbert: The theory of algebraic number fields. Jahresber. Deutsche Math. Ver. 4 (1897), 175--546 ⋮ Minimal generators of the ideal class group ⋮ Linear recurrence sequences satisfying congruence conditions

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