Asymptotics of the volume function for the set of lesser values of a~polynomial in~$\mathbb R^n$
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2000), pp. 16-23.

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

@article{IVM_2000_6_a2,
     author = {A. V. Putilina},
     title = {Asymptotics of the volume function for the set of lesser values of a~polynomial in~$\mathbb R^n$},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {16--23},
     publisher = {mathdoc},
     number = {6},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2000_6_a2/}
}
TY  - JOUR
AU  - A. V. Putilina
TI  - Asymptotics of the volume function for the set of lesser values of a~polynomial in~$\mathbb R^n$
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2000
SP  - 16
EP  - 23
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2000_6_a2/
LA  - ru
ID  - IVM_2000_6_a2
ER  - 
%0 Journal Article
%A A. V. Putilina
%T Asymptotics of the volume function for the set of lesser values of a~polynomial in~$\mathbb R^n$
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2000
%P 16-23
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2000_6_a2/
%G ru
%F IVM_2000_6_a2
A. V. Putilina. Asymptotics of the volume function for the set of lesser values of a~polynomial in~$\mathbb R^n$. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2000), pp. 16-23. http://geodesic.mathdoc.fr/item/IVM_2000_6_a2/

[1] Arnold V. I., Varchenko A. N., Gusein-Zade S. M., Osobennosti differentsiruemykh otobrazhenii. (Monodromiya i asimptotiki integralov), Nauka, M., 1989, 335 pp. | MR

[2] Tsikh A. K., “Integraly ratsionalnykh funktsii po prostranstvu $\mathbb{R}^n$”, DAN SSSR, 307:6 (1989), 1325–1329

[3] Ermolaeva T. O., Tsikh A. K., “Integrirovanie ratsionalnykh funktsii po $\mathbb{R}^n$ s pomoschyu toricheskikh kompaktifikatsii i mnogomernykh vychetov”, Matem. sb., 187:9 (1996), 45–64 | MR | Zbl

[4] Fikhtengolts G. M., Kurs differentsialnogo i integralnogo ischisleniya, 3-e izd., T. III, Fizmatgiz, M., 1960, 656 pp.

[5] Chebotarev N. G., Teoriya algebraicheskikh funktsii, GITTL, M.–L., 1948, 369 pp.

[6] Alyakrinskii A. A., Tsikh A. K., “Integrirovanie nekotorykh ratsionalnykh funktsii po $\mathbb{R}^n$”, Kompleksn. analiz i differents. uravneniya, Krasnoyarsk, 1996, 3–15 | MR

[7] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, 4-e izd., Nauka, M., 1962, 1100 pp.