A note on the fourth moment of Dirichlet L-functions

Details A note on the fourth moment of Dirichlet L-functions A note on the fourth moment of Dirichlet L-functions

2009-03-24

arxiv.org/abs/0903.4008v1

Acta Arith. 141 (2010), 335--344

Mathematics

Number Theory

8 pages

Scientific paper

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.

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