Geodesic
Evaluation of character sums over the continuous interval of summation
Čebyševskij sbornik, Tome 14 (2013) no. 2, pp. 118-122 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper we prove several theorems. Theorem 1, to assess the character sums over the continuous interval based on the use of the formula A. Postnikov and Theorem 2, for the right choice of parameters, estimates of this kind.
Keywords: A Prime number, the sum of Dirichlet characters, continuous period of summation, nonprincipal character estimate of amounts formula A. G. Postnikova, short amount of characters, the exponential decrease, trigonometric sum.
Mots-clés : simple modules 
@article{CHEB_2013_14_2_a9,
     author = {A. A. Kopaneva and E. A. Burlakova},
     title = {Evaluation of character sums over the continuous interval of summation},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {118--122},
     year = {2013},
     volume = {14},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2013_14_2_a9/}
}
TY  - JOUR
AU  - A. A. Kopaneva
AU  - E. A. Burlakova
TI  - Evaluation of character sums over the continuous interval of summation
JO  - Čebyševskij sbornik
PY  - 2013
SP  - 118
EP  - 122
VL  - 14
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/CHEB_2013_14_2_a9/
LA  - ru
ID  - CHEB_2013_14_2_a9
ER  - 
%0 Journal Article
%A A. A. Kopaneva
%A E. A. Burlakova
%T Evaluation of character sums over the continuous interval of summation
%J Čebyševskij sbornik
%D 2013
%P 118-122
%V 14
%N 2
%U http://geodesic.mathdoc.fr/item/CHEB_2013_14_2_a9/
%G ru
%F CHEB_2013_14_2_a9
A. A. Kopaneva; E. A. Burlakova. Evaluation of character sums over the continuous interval of summation. Čebyševskij sbornik, Tome 14 (2013) no. 2, pp. 118-122. http://geodesic.mathdoc.fr/item/CHEB_2013_14_2_a9/

[1] Karatsuba A. A., Osnovy analiticheskoi teorii chisel, 2-e izd., Nauka, M., 1983, 240 pp. | MR

[2] Postnikov A. G., Izbrannye trudy, ed. V. N. Chubarikov, Fizmatlit, M., 2005, 512 pp. | MR | Zbl