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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, 11M06 show english descriptions Estimates on character sums
$\zeta (s)$ and $L(s, \chi)$
11L40 - Estimates on character sums
11M06 - $\zeta (s)$ and $L(s, \chi)$
 

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