On estimates for integral solutions of linear inequalities

DOI10.1007/BF02840657zbMath0564.10038OpenAlexW2052038902MaRDI QIDQ1057916

J. Blot

Publication date: 1984

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02840657

zbMATH Keywords

successive minimalinear inequalitiessystems of linear formsintegral solutionsanalogue of theorem of KhintchineBombieri-Vaaler's adelic generalization of Minkowski's theoremEuclidean frames of integral vectorsKronecker-type theorem

Mathematics Subject Classification ID

Diophantine inequalities (11J25) Minima of forms (11H50) Geometry of numbers (11H99)

Cites Work

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• On Siegel's lemma
• Orbits of Euclidean frames under discrete linear groups
• On the elementary theory of diophantine approximation over the ring of adeles. I
• Approximation to algebraic numbers

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