This article is cited in 1 paper

Reducing Character Sums to Kloosterman Sums

J. B. Friedlander^a, H. Iwaniec<sup>b

a</sup> Department of Mathematics, University of Toronto
^b Rutgers, The State University of New Jersey, Department of Mathematics

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.

UDC: 517

Received: 29.12.2009
Revised: 26.04.2010

DOI: 10.4213/mzm8808

 English version: Mathematical Notes, 2010, 88:3, 440–443

Bibliographic databases:

• 
• 
•