On the
expected result for the second moment of twisted L -functions

#### State

Published in Mathematisches Forschungsinstitut
Oberwolfach, Report No. 33/2009, Explicit Methods in
Number Theory (July 12^{th}-July 22^{nd}), 14--16 (2009).

### Abstract

Finding
an asymptotic formula for the fourth moment of Dirichlet
L-functions with a power saving in the error term should be philosophically as
difficult as the corresponding question for the second moment of twisted
L-functions. It turns out that the first problem has been completely solved by
M. Young in the prime modulus case whereas the best result for the second one
is only an asymptotic formula with a logarithmic saving in the error term so
far. The purpose of this note is to identify the underlying analytic issue,
which occurs in the second question.

MFO2.pdf

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