Estimates for character sums

Friedlander, J.; Iwaniec, H.

doi:10.1090/S0002-9939-1993-1152276-X

Estimates for character sums
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by J. Friedlander and H. Iwaniec PDF

Proc. Amer. Math. Soc. 119 (1993), 365-372 Request permission

Abstract:

We give a number of estimates for character sums \[ \sum \limits _{a \in \mathcal {A}} {\sum \limits _{b \in \mathcal {B}} {\chi (a + b)} } \] 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.

References

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