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
Original language | English |
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Pages (from-to) | 879-903 |
Number of pages | 25 |
Journal | Journal of Number Theory |
Volume | 130 |
Issue number | 4 |
DOIs | |
Publication status | Published - Apr 2010 |