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Chebyshevskii Sb., 2019, Volume 20, Issue 3, Pages 43–73 (Mi cheb797)  

The main notions and theoremes of the geometry of numbers

A. V. Malyshev


Abstract: This brief review contents the description 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 geometry of numbers and the quadratic forms theory.

Keywords: arithmetical minimum, star body, radial function, covering, lattice, packing.

DOI: https://doi.org/10.22405/2226-8383-2018-20-3-43-73

Full text: PDF file (1026 kB)

UDC: 511
Received: 15.10.2019
Accepted:12.11.2019

Citation: A. V. Malyshev, “The main notions and theoremes of the geometry of numbers”, Chebyshevskii Sb., 20:3 (2019), 43–73

Citation in format AMSBIB
\Bibitem{Mal19}
\by A.~V.~Malyshev
\paper The main notions and theoremes of the geometry of numbers
\jour Chebyshevskii Sb.
\yr 2019
\vol 20
\issue 3
\pages 43--73
\mathnet{http://mi.mathnet.ru/cheb797}
\crossref{https://doi.org/10.22405/2226-8383-2018-20-3-43-73}


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