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Mat. Zametki, Forthcoming paper (Mi mz12339)  

Short Kloosterman sums over primes

M. A. Korolev

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: We obtain a new estimate for Kloosterman sum over prime numbers with prime modulus $q$. The length of such sum can has the order $q^{0.5+\varepsilon}$. This estimate improves the results obtained by J. Bourgain (2005) and R. Baker (2012).

Keywords: Kloosterman sums, prime numbers, inverse residues

Funding Agency Grant Number
Russian Science Foundation 19-11-00001



Document Type: Article
UDC: 511.33
Received: 04.02.2019
Revised: 06.02.2019

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