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Matematicheskie Zametki, 2016, Volume 100, Issue 6, Pages 838–846
DOI: https://doi.org/10.4213/mzm11048 (Mi mzm11048) 		 
This article is cited in 11 scientific papers (total in 11 papers)

On Short Kloosterman Sums Modulo a Prime

M. A. Korolev

Steklov Mathematical Institute of Russian Academy of Sciences
Full-text PDF (440 kB) Citations (11)
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DOI: https://doi.org/10.4213/mzm11048
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.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Science Foundation under grant 14-50-00005.
Received: 22.12.2015
Revised: 27.08.2016
English version:
Mathematical Notes, 2016, Volume 100, Issue 6, Pages 820–827
DOI: https://doi.org/10.1134/S0001434616110213
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: M. A. Korolev, “On Short Kloosterman Sums Modulo a Prime”, Mat. Zametki, 100:6 (2016), 838–846; Math. Notes, 100:6 (2016), 820–827
Citation in format AMSBIB
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    		Математические заметки Mathematical Notes
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