Geodesic
New Estimate for Kloosterman Sums with Primes
Matematičeskie zametki, Tome 108 (2020) no. 1, pp. 94-101

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We obtain an estimate for a Kloosterman sum with primes for an arbitrary modulus $q$ whose length $X$ satisfies the conditions $$ q^{1/2+\varepsilon}\le X\ll q^{3/2}. $$ This estimate refines the results obtained earlier by E. Fouvry, I. E. Shparlinski (2011), and the first author (2018, 2019).
Keywords: Kloosterman sums, prime numbers
Mots-clés : inverse residues. 
@article{MZM_2020_108_1_a6,
     author = {M. A. Korolev and M. E. Changa},
     title = {New {Estimate} for {Kloosterman} {Sums} with {Primes}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {94--101},
     publisher = {mathdoc},
     volume = {108},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_108_1_a6/}
}
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M. A. Korolev; M. E. Changa. New Estimate for Kloosterman Sums with Primes. Matematičeskie zametki, Tome 108 (2020) no. 1, pp. 94-101. http://geodesic.mathdoc.fr/item/MZM_2020_108_1_a6/