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Character Sums to Smooth Moduli are Small |
Canad. J. Math. 62(2010), 1099-1115
Published:2010-06-14
Printed: Oct 2010
Printed: Oct 2010
- Leo Goldmakher,
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 $L(s, \chi)$ |