Dalʹnevostočnyj matematičeskij žurnal, Tome 14 (2014) no. 1, pp. 90-95
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A. V. Ustinov. Calculation of a Gauss sum via the discrete Fourier transform. Dalʹnevostočnyj matematičeskij žurnal, Tome 14 (2014) no. 1, pp. 90-95. http://geodesic.mathdoc.fr/item/DVMG_2014_14_1_a7/
@article{DVMG_2014_14_1_a7,
author = {A. V. Ustinov},
title = {Calculation of a {Gauss} sum via the discrete {Fourier} transform},
journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
pages = {90--95},
year = {2014},
volume = {14},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DVMG_2014_14_1_a7/}
}
TY - JOUR
AU - A. V. Ustinov
TI - Calculation of a Gauss sum via the discrete Fourier transform
JO - Dalʹnevostočnyj matematičeskij žurnal
PY - 2014
SP - 90
EP - 95
VL - 14
IS - 1
UR - http://geodesic.mathdoc.fr/item/DVMG_2014_14_1_a7/
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ID - DVMG_2014_14_1_a7
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%0 Journal Article
%A A. V. Ustinov
%T Calculation of a Gauss sum via the discrete Fourier transform
%J Dalʹnevostočnyj matematičeskij žurnal
%D 2014
%P 90-95
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%U http://geodesic.mathdoc.fr/item/DVMG_2014_14_1_a7/
%G ru
%F DVMG_2014_14_1_a7
The explicit formula for a Gauss sum is proved using the discrete Fourier transform. The Gauss quadratic reciprocity law is established as a corollary.
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