Mean values with cubic characters

Stephan Baier; Matthew P. Young

doi:10.1016/j.jnt.2009.11.007

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arXiv · 0804.2233

Mean values with cubic characters

Stephan Baier·Matthew P. Young

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Abstract

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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Stephan Baier, Matthew P. Young. 2010-11-03. Mean values with cubic characters. https://doi.org/10.1016/j.jnt.2009.11.007

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