Basic notions and theorems of the geometry of numbers
Problemy analiza, no. 4 (1997), pp. 3-43.

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This brief review conteins the discribtion of most important concept of geometry or numbers and its main application. It is not included the geometry of quadratic forms interesting but the special part of a number theory (and a geometry of numbers) standing on joining point of the geomtry of numbers and the quadratic forms theory.
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     author = {A. V. Malyshev},
     title = {Basic notions and theorems of the geometry of numbers},
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A. V. Malyshev. Basic notions and theorems of the geometry of numbers. Problemy analiza, no. 4 (1997), pp. 3-43. http://geodesic.mathdoc.fr/item/PA_1997_4_a0/