The second moment of quadratic twists of modular $L$-functions
Journal of the European Mathematical Society, Tome 12 (2010) no. 5, pp. 1097-1116.

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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.
DOI : 10.4171/jems/224
Classification : 11-XX, 00-XX
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Kannan Soundararajan; Matthew P. Young. The second moment of quadratic twists of modular $L$-functions. Journal of the European Mathematical Society, Tome 12 (2010) no. 5, pp. 1097-1116. doi : 10.4171/jems/224. http://geodesic.mathdoc.fr/articles/10.4171/jems/224/

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