ON NUMBER FIELDS WITH NONTRIVIAL SUBFIELDS

DOI10.1142/S1793042111004204zbMath1248.11047arXiv1204.3575OpenAlexW3104822330MaRDI QIDQ3011058

Martin Widmer

Publication date: 27 June 2011

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.3575

zbMATH Keywords

heightnumber fieldscountingNorthcott's theoremadelic-Lipschitz Systems

Mathematics Subject Classification ID

Heights (11G50) Density theorems (11R45) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (2)

Counting decomposable polynomials with integer coefficients ⋮ Average bounds for the \(\ell\)-torsion in class groups of cyclic extensions

Cites Work

• Unnamed Item
• Unnamed Item
• Lower bounds for height functions
• Northcott's theorem on heights. I: A general estimate
• A counter example to Malle's conjecture on the asymptotics of discriminants
• Die Seltenheit der Gleichungen mit Affekt
• The density of discriminants of quartic rings and fields
• The number of extensions of a number field with fixed degree and bounded discriminant
• Counting algebraic numbers with large height II
• PROBABILISTIC GALOIS THEORY FOR QUARTIC POLYNOMIALS
• Counting Algebraic Numbers with Large Height I
• Counting points of fixed degree and bounded height
• Counting primitive points of bounded height

This page was built for publication: ON NUMBER FIELDS WITH NONTRIVIAL SUBFIELDS