The best constant in Siegel's Lemma

DOI10.1007/s00605-003-0047-0zbMath1034.11038OpenAlexW1972117124WikidataQ124799384 ScholiaQ124799384MaRDI QIDQ1411607

Jeffrey D. Vaaler

Publication date: 29 October 2003

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

Full work available at URL: https://doi.org/10.1007/s00605-003-0047-0

zbMATH Keywords

heightsHermite's constantLinear forms

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Diophantine inequalities (11J25)

Related Items (12)

Minkowski's second theorem over a simple algebra ⋮ Minima, slopes and tensor algebra ⋮ On a new absolute version of Siegel's lemma ⋮ Siegel’s Lemma Is Sharp ⋮ Lattice-point enumerators of ellipsoids ⋮ On successive minima and the absolute Siegel's Lemma ⋮ Siegel fields ⋮ Sparse Solutions of Linear Diophantine Equations ⋮ Siegel's Lemma with additional conditions ⋮ Siegel's lemma is sharp for almost all linear systems ⋮ Adelic geometry of numbers and generalized Siegel lemmas ⋮ The discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and Tverberg

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