The geometry of numbers

DOI10.4171/em/506MaRDI QIDQ6631508

Dieter Kotschick

Publication date: 1 November 2024

Published in: Elemente der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Dirichlet's approximation theoremsums of two squaresMinkowski's theoremFermat-Euler theoremgeometric number theory

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Convex sets in (2) dimensions (including convex curves) (52A10) Euclidean geometries (general) and generalizations (51M05) Geometry of numbers (11H99) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to geometry (51-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to convex and discrete geometry (52-01)

Cites Work

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• Diophantische Approximationen. Eine Einführung in die Zahlentheorie. 2. Aufl.
• A new principle in the geometry of numbers, with some applications.
• On some arithmetical results in the geometry of numbers.
• An Introduction to the Geometry of Numbers
• Ein Satz über Gitter und Volumen.

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