Canadian Mathematical Society
Canadian Mathematical Society
  location:  PublicationsjournalsCJM
Abstract view

Character Sums to Smooth Moduli are Small

Open Access article
 Printed: Oct 2010
  • Leo Goldmakher,
    Department of Mathematics, University of Toronto, Toronto, ON
Format:   HTML   LaTeX   MathJax   PDF  


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 PĆ³lya--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 $L(s, \chi)$

© Canadian Mathematical Society, 2018 :