Geodesic
``Geometry of numbers'' in a~context of algebraic theory of numbers
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2016), pp. 92-97

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As noted in circumstantial monograph Geometry of Numbers by P. M. Gruber and C. G. Lekkerkerker, lately there is no considerable contribution to classical theory of calculation and estimates of critical determinants. In this article, in a certain sense, we fill a gap in occurred retardation in developing this theme. We propose a new theoretical-numerical approach with numerous consequences which, in fact, allows to revise all these subjects from another position.
Keywords: geometry of numbers, divisors theory, Euler–Fermat theorem, Kummer's theory of divisibility, lattice, permissible lattice, critical determinants and lattice, body, packing, lattice packing set, packing lattice, ray function, star body
Mots-clés : Hermite's constant. 
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     author = {Zh. N. Temirgaliyeva and N. Temirgaliyev},
     title = {``Geometry of numbers'' in a~context of algebraic theory of numbers},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {92--97},
     publisher = {mathdoc},
     number = {10},
     year = {2016},
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     url = {http://geodesic.mathdoc.fr/item/IVM_2016_10_a12/}
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Zh. N. Temirgaliyeva; N. Temirgaliyev. ``Geometry of numbers'' in a~context of algebraic theory of numbers. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2016), pp. 92-97. http://geodesic.mathdoc.fr/item/IVM_2016_10_a12/