Klein polyhedra for the fourth extremal cubic form
Matematičeskie zametki, Tome 67 (2000) no. 1, pp. 110-128.

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

@article{MZM_2000_67_1_a11,
     author = {V. I. Parusnikov},
     title = {Klein polyhedra for the fourth extremal cubic form},
     journal = {Matemati\v{c}eskie zametki},
     pages = {110--128},
     publisher = {mathdoc},
     volume = {67},
     number = {1},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2000_67_1_a11/}
}
TY  - JOUR
AU  - V. I. Parusnikov
TI  - Klein polyhedra for the fourth extremal cubic form
JO  - Matematičeskie zametki
PY  - 2000
SP  - 110
EP  - 128
VL  - 67
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2000_67_1_a11/
LA  - ru
ID  - MZM_2000_67_1_a11
ER  - 
%0 Journal Article
%A V. I. Parusnikov
%T Klein polyhedra for the fourth extremal cubic form
%J Matematičeskie zametki
%D 2000
%P 110-128
%V 67
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2000_67_1_a11/
%G ru
%F MZM_2000_67_1_a11
V. I. Parusnikov. Klein polyhedra for the fourth extremal cubic form. Matematičeskie zametki, Tome 67 (2000) no. 1, pp. 110-128. http://geodesic.mathdoc.fr/item/MZM_2000_67_1_a11/

[1] Khinchin A. Ya., Tsepnye drobi, 3-e izd., Fizmatgiz, M., 1961

[2] Klein F., “Ueber eine geometrische Auffassung der gewöhnlichen Kettenbruchentwicklung”, Nachr. Ges. Wiss. Gottingen, Mathem.-Phys. Kl., 1895, no. 3, 357–359

[3] Klein F., “Sur une representation geometrique du developpement en fraction continue ordinaire”, Nouv. Ann. Math. (3), 15 (1896), 321–331

[4] Klein F., Ausgewahlte Kapitel der Zahlentheorie. Bd. I. Einleitung, Vorlesung, 1895/1896 herausgegeben von A. Sommerfeld, Göttingen, 1896

[5] Koksma J. F., Diophantische Approximationen, Springer, Berlin, 1936 | Zbl

[6] Davenport H., “On the product of three homogeneous linear forms, I”, Proc. London Math. Soc. (2), 44 (1938), 412–431 | DOI | Zbl

[7] Davenport H., “Note on the product of three homogeneous linear forms”, J. London Math. Soc., 16 (1941), 98–101 | DOI | MR | Zbl

[8] Davenport H., “On the product of three homogeneous linear forms, IV”, Proc. Cambridge Philos. Soc., 39 (1943), 1–21 | DOI | MR | Zbl

[9] Swinnerton-Dyer H. P. F., “On the product of three homogeneous linear forms”, Acta Arithmetica, 18 (1971), 371–385 | MR | Zbl

[10] Bryuno A. D., Parusnikov V. I., “Mnogogranniki Kleina dlya dvukh kubicheskikh form Davenporta”, Matem. zametki, 56:4 (1994), 9–27 | MR | Zbl

[11] Bryuno A. D., Parusnikov V. I., “Sravnenie raznykh obobschenii tsepnykh drobei”, Matem. zametki, 61:3 (1997), 339–348 | MR | Zbl

[12] Bryuno A. D., Parusnikov V. I., Sravnenie raznykh obobschenii tsepnykh drobei, Preprint IPM im. M. V. Keldysha RAN No. 52, 1994

[13] Parusnikov V. I., Mnogogranniki Kleina dlya tretei ekstremalnoi kubicheskoi formy, Preprint IPM im. M. V. Keldysha RAN No. 137, 1996

[14] Parusnikov V. I., “Klein polyhedra for complete decomposable forms”, Number Theory. Dyophantine, Computational and Algebraic Aspects, eds. K. Győry, A. Pethő, V. T. Sós, De Gruyter, Berlin–New York, 1998, 453–463 | MR | Zbl

[15] Parusnikov V. I., Mnogogranniki Kleina s bolshimi granyami, Preprint IPM im. M. V. Keldysha RAN No. 93, 1997 | Zbl

[16] Parusnikov V. I., Mnogogranniki Kleina dlya chetvertoi ekstremalnoi kubicheskoi formy, Preprint IPM im. M. V. Keldysha RAN No. 36, 1998

[17] Goldman A., Takker A., “Mnogogrannye vypuklye konusy”, Lineinye neravenstva, IL, M., 1959, 142–161

[18] Bryuno A. D., Lokalnyi metod nelineinogo analiza differentsialnykh uravnenii, Nauka, M., 1979

[19] Gekke E., Lektsii po teorii algebraicheskikh chisel, GITTL, M.–L., 1940

[20] Borevich Z. I., Shafarevich I. R., Teoriya chisel, 2-e izd., Nauka, M., 1972