Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2009), pp. 77-80
Citer cet article
H. M. Saliba; V. N. Chubarikov. A generalization of the Gauss sum. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2009), pp. 77-80. http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a17/
@article{VMUMM_2009_2_a17,
author = {H. M. Saliba and V. N. Chubarikov},
title = {A generalization of the {Gauss} sum},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {77--80},
year = {2009},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a17/}
}
TY - JOUR
AU - H. M. Saliba
AU - V. N. Chubarikov
TI - A generalization of the Gauss sum
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2009
SP - 77
EP - 80
IS - 2
UR - http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a17/
LA - ru
ID - VMUMM_2009_2_a17
ER -
%0 Journal Article
%A H. M. Saliba
%A V. N. Chubarikov
%T A generalization of the Gauss sum
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2009
%P 77-80
%N 2
%U http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a17/
%G ru
%F VMUMM_2009_2_a17
For the generalized Gauss sum $$ S(N;a,q)=\sum\limits_{k=1}^{Nq} e\bigg(\frac1N \Big( k-\frac{a}{q}\Big)^2\bigg), $$ where $N,q$ are natural numbers, $a$ is integer, $0\leq a, $(a,q)=1$, its value is determined.
