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arXiv:0903.4008 [math.NT]AbstractReferencesReviewsResources

A note on the fourth moment of Dirichlet L-functions

H. M. Bui, D. R. Heath-Brown

Published 2009-03-24Version 1

We prove an asymptotic formula for the fourth power mean of Dirichlet L-functions averaged over primitive characters to modulus q and over t\in [0,T] which is particularly effective when q \ge T. In this range the correct order of magnitude was not previously known.

Comments: 8 pages
Journal: Acta Arith. 141 (2010), 335-344
Categories: math.NT
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