Geodesic
Mahler's work on the geometry of numbers
Documenta mathematica, Mahler Selecta (2019), pp. 29-43.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Mahler has written many papers on the geometry of numbers. Arguably, his most influential achievements in this area are his compactness theorem for lattices, his work on star bodies and their critical lattices, and his estimates for the successive minima of reciprocal convex bodies and compound convex bodies. We give a, by far not complete, overview of Mahler's work on these topics and their impact.
Classification : 11-03, 11H06, 11H16 
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     title = {Mahler's work on the geometry of numbers},
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Evertse, Jan-Hendrik. Mahler's work on the geometry of numbers. Documenta mathematica, Mahler Selecta (2019), pp. 29-43. http://geodesic.mathdoc.fr/item/DOCMA_2019__S1__a3/