Matematičeskie zametki, Tome 14 (1973) no. 1, pp. 67-72
Citer cet article
A. A. Karatsuba. Lower estimates of sums of polynomial characters. Matematičeskie zametki, Tome 14 (1973) no. 1, pp. 67-72. http://geodesic.mathdoc.fr/item/MZM_1973_14_1_a8/
@article{MZM_1973_14_1_a8,
author = {A. A. Karatsuba},
title = {Lower estimates of sums of polynomial characters},
journal = {Matemati\v{c}eskie zametki},
pages = {67--72},
year = {1973},
volume = {14},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_14_1_a8/}
}
TY - JOUR
AU - A. A. Karatsuba
TI - Lower estimates of sums of polynomial characters
JO - Matematičeskie zametki
PY - 1973
SP - 67
EP - 72
VL - 14
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1973_14_1_a8/
LA - ru
ID - MZM_1973_14_1_a8
ER -
%0 Journal Article
%A A. A. Karatsuba
%T Lower estimates of sums of polynomial characters
%J Matematičeskie zametki
%D 1973
%P 67-72
%V 14
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1973_14_1_a8/
%G ru
%F MZM_1973_14_1_a8
An infinite sequence of primes $p$ is formulated, and for each $p$ polynomials of form $ax^n+b$, $(a,p=(b,p)=1$, are indicated such that $$\sum_{x=1}^p\biggl(\frac{ax^n+b}p\biggr),\quad n\asymp\frac p{\log p}.$$
