@article{SM_1983_44_2_a3,
author = {S. S. Ryshkov and S. Sh. Shushbaev},
title = {The structure of the $L$-partition for the second perfect lattice},
journal = {Sbornik. Mathematics},
pages = {195--206},
year = {1983},
volume = {44},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1983_44_2_a3/}
}
S. S. Ryshkov; S. Sh. Shushbaev. The structure of the $L$-partition for the second perfect lattice. Sbornik. Mathematics, Tome 44 (1983) no. 2, pp. 195-206. http://geodesic.mathdoc.fr/item/SM_1983_44_2_a3/
[1] Delone B. N., “Geometriya polozhitelnykh kvadratichnykh form”, UMN, 1937, no. 3, 16–62 ; 1938, No 4, 102–164
[2] Delone B. N., “O plotneishikh parallelepipedalnykh raspolozheniyakh sharikov v prostranstvakh trekh i chetyrekh izmerenii”, Trudy Fiz.-matem. in-ta, otd. matem., 4, 1933, 63–69 | Zbl
[3] Delone B. N., Peterburgskaya shkola teorii chisel, izd-vo AN SSSR, M., L., 1947
[4] Barnes E. S., “The construction of perfect and extreme forms. II”, Acta arithm., 5:2 (1959), 205–221 | MR
[5] Ryshkov S. S, Baranovskii E. P., $C$-tipy $n$-mernykh reshetok i pyatimernye primitivnye paralleloedry s prilozheniem k teorii pokrytii, Trudy matem. in-ta im. V. A. Steklova, 137, 1976 | MR | Zbl
[6] Voitishek L. V., “Vychislenie $C$-funktsii Epshteina”, Voprosy vych. i prikl. matem., 38, Tashkent, 1970, 16–21
[7] Delone B. N., Ryshkov S. S., “Ekstremalnye zadachi teorii polozhitelnykh kvadratichnykh form”, Trudy matem. in-ta im. V. A. Steklova, 112, 1971, 203–223 | MR | Zbl
[8] Voronoi G. F., “O nekotorykh svoistvakh polozhitelnykh sovershennykh kvadratichnykh form”, Sochineniya, T. 2, Kiev, 1952, 171–233
[9] Ryshkov S. S, Baranovskii E. P., “Klassicheskie metody teorii reshetchatykh upakovok”, UMN, 34:4 (1979), 3–63 | MR | Zbl
[10] Aleksandrov A. D., “O zapolnenii prostranstva mnogogrannikami”, Vestnik LGU, 2 (1954), 33–43
[11] Burbaki N., Gruppy i algebry Li, Mir, M., 1972 | MR | Zbl
[12] Coxeter H. S. M., Regular Polytopeg, London, 1948; New York, 1949
[13] Shushbaev S. Sh., Ob oblasti Dirikhle–Voronogo dlya vtoroi sovershennoi formy, Voprosy vych. i prikl. matem., 45, Tashkent, 1977
[14] Blichfeldt H. T., “The minimum values of positive quadratic forms in six, seven and eight variables”, Math. Z., 9 (1934–1935), 1–15 | MR
[15] Coxeter H. S. M., “Extreme forms”, Canad. J. Math., 3 (1951), 391–441 | MR | Zbl
[16] Ryshkov S. S., “O sovershennoi forme $A_n^k$: suschestvovanie reshetok s neosnovnym simpleksom $L$-razbieniya; suschestvovanie sovershennykh form, ne privodimykh po Minkovskomu k forme s odinakovymi diagonalnymi koeffitsientami”, Issledovaniya po teorii chisel. 2, Zapiski nauchn. seminarov LOMI, 33, 1973, 65–71 | Zbl
[17] Vetchinkin N. M., “Edinstvennosti klassov polozhitelnykh kvadratichnykh form, na kotorykh dostigayutsya znacheniya postoyannykh Ermita pri $6 \leqslant n \leqslant 8$”, Trudy matem. in-ta im. V. A. Steklova, 152, 1980, 34–86 | MR | Zbl
[18] Watson Ct. L., “On the minimum of a positive quadratic form in variables (verification of Blichfeldt Calculations)”, Proc. Camb. Phil. Soc., 62 (1966), 719 | DOI | Zbl