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Character Sums to Smooth Moduli are Small

Published online by Cambridge University Press:  20 November 2018

Leo Goldmakher
Leo Goldmakher*
Affiliation:
Department of Mathematics, University of Toronto, Toronto, ON
*
leo.goldmakher@utoronto.ca
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Abstract

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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.

Keywords

11L4011M06
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 62 , Issue 5 , 01 October 2010 , pp. 1099 - 1115
Copyright
Copyright © Canadian Mathematical Society 2010

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