The second moment of quadratic twists of modular $L$-functions

Details The second moment of quadratic twists of modular $L$-functions The second moment of quadratic twists of modular $L$-functions

2009-07-27

arxiv.org/abs/0907.4747v1

J. Eur. Math. Soc. (JEMS) 12 (2010), no. 5, 1097-1116

Mathematics

Number Theory

17 pages

Scientific paper

10.4171/JEMS/224

We study the second moment of the central values of quadratic twists of a
modular $L$-function. Unconditionally, we obtain a lower bound which matches
the conjectured asymptotic formula, while on GRH we prove the asymptotic
formula itself.

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