A note on Siegel's lemma

DOI10.1216/rmjm/1181072037zbMath0905.11030OpenAlexW2028920930WikidataQ124815622 ScholiaQ124815622MaRDI QIDQ1359151

David W. Masser

Publication date: 18 January 1999

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/vol26-3/contents/contents.htm

zbMATH Keywords

Siegel's lemmaestimation of the height of a minimal solutionhomogeneous linear equations over a number field

Mathematics Subject Classification ID

Algebraic number theory: global fields (11R99) Simultaneous homogeneous approximation, linear forms (11J13) Nonconvex bodies (11H16)

Related Items (3)

Bases of number fields with small height ⋮ Linear equations and heights over division algebras ⋮ Siegel fields

Cites Work

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• On Siegel's lemma
• Bases of number fields with small height
• Isogeny estimates for abelian varieties, and finiteness theorems
• A note on Siegel's lemma over number fields
• Factorization estimates for Abelian varieties
• On heights of algebraic subspaces and diophantine approximations
• A Note on the Class-Numbers of Algebraic Number Fields
• Specializations of Finitely Generated Subgroups of Abelian Varieties

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