Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2011), pp. 56-60
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F. Z. Rahmonov. Estimate of quadratic trigonometric sums with prime numbers. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2011), pp. 56-60. http://geodesic.mathdoc.fr/item/VMUMM_2011_3_a12/
@article{VMUMM_2011_3_a12,
author = {F. Z. Rahmonov},
title = {Estimate of quadratic trigonometric sums with prime numbers},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {56--60},
year = {2011},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2011_3_a12/}
}
TY - JOUR
AU - F. Z. Rahmonov
TI - Estimate of quadratic trigonometric sums with prime numbers
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2011
SP - 56
EP - 60
IS - 3
UR - http://geodesic.mathdoc.fr/item/VMUMM_2011_3_a12/
LA - ru
ID - VMUMM_2011_3_a12
ER -
%0 Journal Article
%A F. Z. Rahmonov
%T Estimate of quadratic trigonometric sums with prime numbers
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2011
%P 56-60
%N 3
%U http://geodesic.mathdoc.fr/item/VMUMM_2011_3_a12/
%G ru
%F VMUMM_2011_3_a12
An estimation of the modulus of an exponential sum over primes $$ S_2(\alpha;x,1)=\sum_{n\le x}\Lambda(n) e(\alpha(n+1)^2) $$ is obtained, where $\alpha$ is approximated by a rational number with a large denominator.
