Burgess's Bounds for Character Sums

Details Burgess's Bounds for Character Sums Burgess's Bounds for Character Sums

2012-03-23

arxiv.org/abs/1203.5219v1

Mathematics

Number Theory

Scientific paper

We prove that Burgess's bound gives an estimate not just for a single
character sum but for a mean value of many such sums. Even in the case of the
Polya-Vinogradov inequality this seems not to have been previously observed.

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