The fourth moment of Dirichlet L-functions

Details The fourth moment of Dirichlet L-functions The fourth moment of Dirichlet L-functions

2006-10-10

arxiv.org/abs/math/0610335v2

Ann. of Math. (2) 173 (2011), no. 1, 1-50

Mathematics

Number Theory

40 pages. v2: Improved exposition, simplified proofs, and minor errors fixed. To appear in Annals of Mathematics.

Scientific paper

10.4007/annals.2011.173.1.1

We compute the fourth moment of Dirichlet L-functions at the central point
for prime moduli, with a power savings in the error term.

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