Mean values with cubic characters

Details Mean values with cubic characters Mean values with cubic characters

2008-04-14

arxiv.org/abs/0804.2233v4

J. Number Theory 130 (2010), no. 4, 879-903

Mathematics

Number Theory

22 pages; greatly shortened, simplified and corrected version

Scientific paper

10.1016/j.jnt.2009.11.007

We investigate various mean value problems involving order three primitive
Dirichlet characters. In particular, we obtain an asymptotic formula for the
first moment of central values of the Dirichlet L-functions associated to this
family, with a power saving in the error term. We also obtain a large-sieve
type result for order three (and six) Dirichlet characters.

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