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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Estimates for character sums


Authors: J. Friedlander and H. Iwaniec
Journal: Proc. Amer. Math. Soc. 119 (1993), 365-372
MSC: Primary 11L40
MathSciNet review: 1152276
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Abstract: We give a number of estimates for character sums

$\displaystyle \sum\limits_{a \in \mathcal{A}} {\sum\limits_{b \in \mathcal{B}} {\chi (a + b)} } $

for rather general sets $ \mathcal{A},\;\mathcal{B}$. These give, in particular, a modified proof of the inequalities of Pólya-Vinogradov and of Burgess, which displays the latter as a generalization of the former.

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DOI: https://doi.org/10.1090/S0002-9939-1993-1152276-X
Article copyright: © Copyright 1993 American Mathematical Society