Abstract
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).
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Funding
The research of the first author was supported by the Russian Science Foundation under grant 19-11-00001.
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Korolev, M.A., Changa, M.E. New Estimate for Kloosterman Sums with Primes. Math Notes 108, 87–93 (2020). https://doi.org/10.1134/S0001434620070081
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DOI: https://doi.org/10.1134/S0001434620070081