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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2016 Volume 100, Issue 6, Pages 838–846 (Mi mzm11048)
This article is cited in 11 papers

On Short Kloosterman Sums Modulo a Prime

M. A. Korolev

Steklov Mathematical Institute of Russian Academy of Sciences

Abstract: Using the Karatsuba method, we obtain new estimates for Kloosterman sums modulo a prime, which, under certain constraints on the number of summands, are sharper than similar estimates found earlier.

Keywords: Kloosterman sum, Karatsuba method, inverse quantities.

UDC: 517

Received: 22.12.2015
Revised: 27.08.2016

DOI: 10.4213/mzm11048


 English version: Mathematical Notes, 2016, 100:6, 820–827

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© Steklov Math. Inst. of RAS, 2025