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Matematicheskie Zametki, 2010, Volume 88, Issue 3, Pages 476–480
DOI: https://doi.org/10.4213/mzm8808 (Mi mzm8808) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Reducing Character Sums to Kloosterman Sums

J. B. Friedlandera, H. Iwaniecb

a Department of Mathematics, University of Toronto
b Rutgers, The State University of New Jersey, Department of Mathematics
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DOI: https://doi.org/10.4213/mzm8808
Abstract: We apply a bound for very short Kloosterman type sums, due to A. A. Karatsuba, to deduce a bound for a mean-value of short sums of Dirichlet characters.
Keywords: Kloosterman sum, primitive character, dyadic segment, $L$-function, Fourier transform, Poisson formula.
Received: 29.12.2009
Revised: 26.04.2010
English version:
Mathematical Notes, 2010, Volume 88, Issue 3, Pages 440–443
DOI: https://doi.org/10.1134/S0001434610090166
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: J. B. Friedlander, H. Iwaniec, “Reducing Character Sums to Kloosterman Sums”, Mat. Zametki, 88:3 (2010), 476–480; Math. Notes, 88:3 (2010), 440–443
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm/v88/i3/p476
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    This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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