Geodesic
Estimation of trigonometric sums with prime numbers
Čebyševskij sbornik, Tome 12 (2011) no. 1, pp. 158-171 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{CHEB_2011_12_1_a11,
     author = {F. Z. Rakhmonov},
     title = {Estimation of trigonometric sums with prime numbers},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {158--171},
     year = {2011},
     volume = {12},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2011_12_1_a11/}
}
TY  - JOUR
AU  - F. Z. Rakhmonov
TI  - Estimation of trigonometric sums with prime numbers
JO  - Čebyševskij sbornik
PY  - 2011
SP  - 158
EP  - 171
VL  - 12
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/CHEB_2011_12_1_a11/
LA  - ru
ID  - CHEB_2011_12_1_a11
ER  - 
%0 Journal Article
%A F. Z. Rakhmonov
%T Estimation of trigonometric sums with prime numbers
%J Čebyševskij sbornik
%D 2011
%P 158-171
%V 12
%N 1
%U http://geodesic.mathdoc.fr/item/CHEB_2011_12_1_a11/
%G ru
%F CHEB_2011_12_1_a11
F. Z. Rakhmonov. Estimation of trigonometric sums with prime numbers. Čebyševskij sbornik, Tome 12 (2011) no. 1, pp. 158-171. http://geodesic.mathdoc.fr/item/CHEB_2011_12_1_a11/

[1] Vinogradov I. M., Izbrannye trudy, Izd-vo AN SSSR, M., 1952 | MR | Zbl

[2] Vinogradov I. M., Osobye varianty metodov trigonometricheskikh summ, Nauka, M., 1976 | MR

[3] Linnik Yu. V., “Novoe dokazatelstvo teoremy Goldbakha–Vinogradova”, Mat. sbornik, 19:1 (1946), 3–8 | MR | Zbl

[4] Chudakov N. G., “On Goldbach–Vinogradof's theorem”, Ann of Math., 48 (1947), 515–545 | DOI | MR

[5] Zhan Tao, The mean square value of Dirichlet $L$-functions, Chinese ADv. Math., 2, 1989

[6] Chudakov N. G., “On the difference between two neighboring prime numbers”, Mat. Sb., 1 (1936), 799–814

[7] Devenport G., Multiplikativnaya teoriya chisel, Nauka, M., 1971 | MR

[8] Prakhar K., Raspredelenie prostykh chisel, Mir, M., 1967 | MR

[9] Karatsuba A. A., Osnovy analiticheskoi teorii chisel, 2-oe izd., Nauka, M., 1983 | MR

[10] Todd Cochrane, Zhiyong Zheng, “Pure and mixed exponential sums”, Acta Arithmetica, XCI:3 (1999), 249–278 | MR | Zbl