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