Geodesic
On quadrature formulas
Izvestiya. Mathematics, Tome 45 (1995) no. 2, pp. 417-422 
S. M. Voronin. On quadrature formulas. Izvestiya. Mathematics, Tome 45 (1995) no. 2, pp. 417-422. http://geodesic.mathdoc.fr/item/IM2_1995_45_2_a8/
@article{IM2_1995_45_2_a8,
     author = {S. M. Voronin},
     title = {On~quadrature formulas},
     journal = {Izvestiya. Mathematics},
     pages = {417--422},
     year = {1995},
     volume = {45},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1995_45_2_a8/}
}
TY  - JOUR
AU  - S. M. Voronin
TI  - On quadrature formulas
JO  - Izvestiya. Mathematics
PY  - 1995
SP  - 417
EP  - 422
VL  - 45
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/IM2_1995_45_2_a8/
LA  - en
ID  - IM2_1995_45_2_a8
ER  - 
%0 Journal Article
%A S. M. Voronin
%T On quadrature formulas
%J Izvestiya. Mathematics
%D 1995
%P 417-422
%V 45
%N 2
%U http://geodesic.mathdoc.fr/item/IM2_1995_45_2_a8/
%G en
%F IM2_1995_45_2_a8

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

An effective method for constructing quadrature formulas, based on the theory of divisors in algebraic number fields, is proposed.

[1] S. M. Voronin, N. Temirgaliev, “O kvadraturnykh formulakh, svyazannykh s divizorami polya gaussovykh chisel”, Matem. zametki, 46:2 (1989), 34–41 | MR | Zbl

[2] N. Temirgaliev, “Primenenie teorii divizorov k chislennomu integrirovaniyu periodicheskikh funktsii mnogikh peremennykh”, Matem. sb., 181:4 (1990), 490–505

[3] Z. I. Borevich, I. R. Shafarevich, Teoriya chisel, Nauka, M., 1985 | MR | Zbl

[4] A. A. Karatsuba, Osnovy analiticheskoi teorii chisel, Nauka, M., 1983 | MR

[5] N. M. Korobov, Trigonometricheskie summy i ikh prilozheniya, Nauka, M., 1989 | MR | Zbl