Mean values with cubic characters

By Stephan Baier, M. Young. 2008

66 citations recorded by the source corpus.

Abstract We investigate various mean value problems involving order 3 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 3 (and 6) Dirichlet characters.

Subfields: Algebra and Number Theory, Artificial Intelligence

View Paper: https://www.semanticscholar.org/paper/367a0d3702c56a1d030dd17bb7dee5b38d268d55