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# Character Sums to Smooth Moduli are Small

Published:2010-06-14
Printed: Oct 2010
• Leo Goldmakher,
Department of Mathematics, University of Toronto, Toronto, ON
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## 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.
 MSC Classifications: 11L40 - Estimates on character sums 11M06 - $\zeta (s)$ and $L(s, \chi)$

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