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The fourth moment of Dirichlet L-functions

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arxiv math/0507150 v1 pith:T5UDANGX submitted 2005-07-07 math.NT

The fourth moment of Dirichlet L-functions

classification math.NT
keywords dirichletfourthfunctionsmomentasymptoticattachedcentralcharacters
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Extending a result of Heath-Brown, we establish an asymptotic formula for the fourth moment of central values of Dirichlet $L$-functions attached to primitive characters $\pmod q$.

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