A note on Siegel's lemma over number fields

DOI10.1007/BF01294863zbMath0839.11011WikidataQ125057471 ScholiaQ125057471MaRDI QIDQ1907010

Jeffrey Lin Thunder, Damien Roy

Publication date: 19 June 1996

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178708

zbMATH Keywords

number fieldsdiscriminantWeil heightSiegel's lemmahomogeneous linear formsinhomogeneous height

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Linear Diophantine equations (11D04) Nonconvex bodies (11H16)

Related Items (13)

A note on Siegel's lemma ⋮ Bases of number fields with small height ⋮ Linear equations and heights over division algebras ⋮ Minimal Mahler measure in cubic number fields ⋮ Minimal Mahler measures for generators of some fields ⋮ Northcott numbers for the weighted Weil heights ⋮ Number fields without small generators ⋮ On the Northcott property for infinite extensions ⋮ Bounds for the ℓ-torsion in class groups ⋮ Counting primitive points of bounded height ⋮ Small generators of function fields ⋮ Note on adelic triangulations and an adelic Blichfeldt-type inequality ⋮ Average bounds for the \(\ell\)-torsion in class groups of cyclic extensions

Cites Work

• Unnamed Item
• Unnamed Item
• On Siegel's lemma
• Lower bounds for height functions
• On heights of algebraic subspaces and diophantine approximations

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