Geodesic
Generalized continued fractions and estimates of Weyl sums and the remainder term in the distribution law for the fractional parts of the values of a polynomial
Matematičeskie zametki, Tome 56 (1994) no. 6, pp. 144-148 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{MZM_1994_56_6_a16,
     author = {L. D. Pustyl'nikov},
     title = {Generalized continued fractions and estimates of {Weyl} sums and the remainder term in the distribution law for the fractional parts of the values of a polynomial},
     journal = {Matemati\v{c}eskie zametki},
     pages = {144--148},
     year = {1994},
     volume = {56},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1994_56_6_a16/}
}
TY  - JOUR
AU  - L. D. Pustyl'nikov
TI  - Generalized continued fractions and estimates of Weyl sums and the remainder term in the distribution law for the fractional parts of the values of a polynomial
JO  - Matematičeskie zametki
PY  - 1994
SP  - 144
EP  - 148
VL  - 56
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/MZM_1994_56_6_a16/
LA  - ru
ID  - MZM_1994_56_6_a16
ER  - 
%0 Journal Article
%A L. D. Pustyl'nikov
%T Generalized continued fractions and estimates of Weyl sums and the remainder term in the distribution law for the fractional parts of the values of a polynomial
%J Matematičeskie zametki
%D 1994
%P 144-148
%V 56
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1994_56_6_a16/
%G ru
%F MZM_1994_56_6_a16
L. D. Pustyl'nikov. Generalized continued fractions and estimates of Weyl sums and the remainder term in the distribution law for the fractional parts of the values of a polynomial. Matematičeskie zametki, Tome 56 (1994) no. 6, pp. 144-148. http://geodesic.mathdoc.fr/item/MZM_1994_56_6_a16/

[1] Khinchin A. Ya., Tsepnye drobi, Gos. izd. fiz.-matem. literatury, M., 1961

[2] Voronoi G. F., Sobranie sochinenii, T. I, Izd. AN USSR, Kiev, 1952

[3] Kornfeld I. P., Sinai Ya. G., Fomin S. V., Ergodicheskaya teoriya, Nauka, M., 1975

[4] Pustylnikov L. D., UMN, 48:4(292) (1993), 131–166 | MR | Zbl

[5] Pustyl'nikov L. D., Ergodic theory and dynamical systems, 11 (1991), 515–534 | MR | Zbl

[6] Arkhipov G. I., Karatsuba A. A., Chubarikov V. N., Trudy MIAN, 151, Nauka, M., 1980 | MR | Zbl