Vinogradov's sieve and an estimate for an incomplete Kloosterman sum
Sbornik. Mathematics, Tome 213 (2022) no. 2, pp. 216-234

Voir la notice de l'article provenant de la source Math-Net.Ru

We refine a bound for a short Kloosterman sum with a prime modulus $q$ using the so-called Vinogradov sieve. The number of terms in the sum can be less than an arbitrarily small fixed power of $q$. Bibliography: 26 titles.
Keywords: Vinogradov sieve, Karatsuba's method, short Kloosterman sum
Mots-clés : residue inverse.
@article{SM_2022_213_2_a3,
     author = {M. A. Korolev},
     title = {Vinogradov's sieve and an estimate for an incomplete {Kloosterman} sum},
     journal = {Sbornik. Mathematics},
     pages = {216--234},
     publisher = {mathdoc},
     volume = {213},
     number = {2},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2022_213_2_a3/}
}
TY  - JOUR
AU  - M. A. Korolev
TI  - Vinogradov's sieve and an estimate for an incomplete Kloosterman sum
JO  - Sbornik. Mathematics
PY  - 2022
SP  - 216
EP  - 234
VL  - 213
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2022_213_2_a3/
LA  - en
ID  - SM_2022_213_2_a3
ER  - 
%0 Journal Article
%A M. A. Korolev
%T Vinogradov's sieve and an estimate for an incomplete Kloosterman sum
%J Sbornik. Mathematics
%D 2022
%P 216-234
%V 213
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2022_213_2_a3/
%G en
%F SM_2022_213_2_a3
M. A. Korolev. Vinogradov's sieve and an estimate for an incomplete Kloosterman sum. Sbornik. Mathematics, Tome 213 (2022) no. 2, pp. 216-234. http://geodesic.mathdoc.fr/item/SM_2022_213_2_a3/