|
|||||
|
|
Mean values with cubic characters |
|
| Authors: | Stephan Baier Matthew P. Young |
| Affiliation: | a Jacobs University, School of Engineering and Science, PO Box 750561, 28725 Bremen, Germany b Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA |
| 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. |
| Keywords: | Mean values Cubic Dirichlet characters Moments of L-functions |
| 本文献已被 ScienceDirect 等数据库收录！ | |