Short Kloosterman Sums with Primes


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Abstract

A new estimate of the Kloosterman sum with primes modulo a prime number q is obtained, in which the number of summands can be of order q0.5+ε. This estimate refines results obtained earlier by J. Bourgain (2005) and R. Baker (2012).

About the authors

M. A. Korolev

Steklov Mathematical Institute of Russian Academy of Sciences

Author for correspondence.
Email: korolevma@mi-ras.ru
Russian Federation, Moscow, 119991

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