Geodesic
On the theory of the cone of positivity and the theory of the perfect polyhedra $\Pi(n)$ and $\mu_n(m)$
Čebyševskij sbornik, Tome 3 (2002) no. 1, pp. 84-96.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{CHEB_2002_3_1_a11,
     author = {S. S. Ryshkov},
     title = {On the theory of the cone of positivity and the theory of the perfect polyhedra $\Pi(n)$ and $\mu_n(m)$},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {84--96},
     publisher = {mathdoc},
     volume = {3},
     number = {1},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2002_3_1_a11/}
}
TY  - JOUR
AU  - S. S. Ryshkov
TI  - On the theory of the cone of positivity and the theory of the perfect polyhedra $\Pi(n)$ and $\mu_n(m)$
JO  - Čebyševskij sbornik
PY  - 2002
SP  - 84
EP  - 96
VL  - 3
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CHEB_2002_3_1_a11/
LA  - ru
ID  - CHEB_2002_3_1_a11
ER  - 
%0 Journal Article
%A S. S. Ryshkov
%T On the theory of the cone of positivity and the theory of the perfect polyhedra $\Pi(n)$ and $\mu_n(m)$
%J Čebyševskij sbornik
%D 2002
%P 84-96
%V 3
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CHEB_2002_3_1_a11/
%G ru
%F CHEB_2002_3_1_a11
S. S. Ryshkov. On the theory of the cone of positivity and the theory of the perfect polyhedra $\Pi(n)$ and $\mu_n(m)$. Čebyševskij sbornik, Tome 3 (2002) no. 1, pp. 84-96. http://geodesic.mathdoc.fr/item/CHEB_2002_3_1_a11/

[1] Ryshkov S. S., Baranovskii E. P., “Klassicheskie metody teorii reshetchatykh upakovok”, UMN, 34:4 (1979), 2–63 | MR

[2] Voronoi G. F., “O nekotorykh svoistvakh polozhitelnykh sovershennykh form”, Sobr. soch., v. 2, Izd-vo AN USSR, Kiev, 1952, 239–368

[3] Voronoi G., “Sur quelques proprietes des formes quadratiques posiyives parfaites”, J. reine und angew. Math., 134 (1908), 198–287 ; 136 (1909), 67–179 | Zbl

[4] Ryshkov S. S., “Poliedr $\mu (n)$ i nekotorye ekstremalnye zadachi geometrii chisel”, DAN SSSR, 194:3 (1970), 138–161

[5] Delone B. N., “Geometriya polozhitelnykh kvadratichnykh form”, UMN, 1937, no. 3, 16–62

[6] Delone B. N., “Geometriya polozhitelnykh kvadratichnykh form”, UMN, 1938, no. 4, 102–164

[7] Shtogrin M. I., “Lokalno kvaziplotneishie reshetchatye upakovki sharov”, DAN SSSR, 218:1 (1974), 62–65 | Zbl

[8] Ryshkov S. S., “K teorii konusa polozhitelnosti i poliedra Voronogo”, Sovremennye problemy teorii chisel, Mezhdunar. konf., Tez. dokl. (Rossiya, Tula, 20 sent.–25 sent. 1993 g.), Tula, 1993, 138

[9] Wickelgren K., Linear transformations preserving the Voronoi polyhedron

[10] Delone B. N., Ustnoe soobschenie, 1977