Character sums to smooth moduli are small

Details Character sums to smooth moduli are small Character sums to smooth moduli are small

2007-12-10

arxiv.org/abs/0712.1574v3

Mathematics

Number Theory

18 pages. Section 5 significantly revised

Scientific paper

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
Polya-Vinogradov inequality for characters with smooth conductor.

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