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Article overview
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On character sums over flat numbers | Ping Xi
; Yuan Yi
; | Date: |
6 Dec 2009 | Abstract: | Let $qgeqslant2$ be an integer, $chi$ be any non-principal character mod
$q$, and $H=H(q)leqslant q.$ In this paper the authors prove some estimates
for character sums of the form
[mathcal{W}(chi,H;q)=sum_{ninmathscr{F}(H)}chi(n),] where
[mathscr{F}(H)=left{ninmathbb{Z}|(n,q)=1,1leqslant n,ar{n}leqslant q,
|n-ar{n}|leqslant H},] $ar{n}$ is defined by $nar{n}equiv1pmod q.$ | Source: | arXiv, 0912.1071 | Services: | Forum | Review | PDF | Favorites |
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