Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 595-640
Citer cet article
O. V. Popov. Arithmetical applications for estimates of Weyl's sums of increasing degree polynomials. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 595-640. http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a9/
@article{FPM_1998_4_2_a9,
author = {O. V. Popov},
title = {Arithmetical applications for estimates of {Weyl's} sums of increasing degree polynomials},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {595--640},
year = {1998},
volume = {4},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a9/}
}
TY - JOUR
AU - O. V. Popov
TI - Arithmetical applications for estimates of Weyl's sums of increasing degree polynomials
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1998
SP - 595
EP - 640
VL - 4
IS - 2
UR - http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a9/
LA - ru
ID - FPM_1998_4_2_a9
ER -
%0 Journal Article
%A O. V. Popov
%T Arithmetical applications for estimates of Weyl's sums of increasing degree polynomials
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1998
%P 595-640
%V 4
%N 2
%U http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a9/
%G ru
%F FPM_1998_4_2_a9
This paper gives applications of estimates of Weyl's sums to computations of constants in the modern bound of the Riemann's zeta-function zeros as well as to deduction of asymptotical formulae in ternary additive problems with primes, where one of the variables grows faster than the polynomial.
