Character Sums to Smooth Moduli are Small

Character Sums to Smooth Moduli are Small
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DOI:
10.4153/cjm-2010-047-9
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发表时间:
2007-12
期刊:
Canadian Journal of Mathematics
影响因子:
--
通讯作者:
Leo Goldmakher
Leo Goldmakher
中科院分区:
其他
文献类型:
--
作者:
Leo Goldmakher

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近年来,Granville和Soundararajan在特征和的研究方面取得了重大突破。在他们工作的基础上,利用Graham-Ringrose和Iwaniec对短特征和的估计,我们改进了光滑导体特征的Pólya-Vinogradov不等式。
Abstract Recently, Granville and Soundararajan have made fundamental breakthroughs in the study of character sums. Building on their work and using estimates on short character sums developed by Graham–Ringrose and Iwaniec, we improve the Pólya–Vinogradov inequality for characters with smooth conductor.