The second moment of quadratic twists of modular $L$-functions
Journal of the European Mathematical Society, Tome 12 (2010) no. 5, pp. 1097-1116
Cet article a éte moissonné depuis la source EMS Press
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.
@article{JEMS_2010_12_5_a1,
author = {Kannan Soundararajan and Matthew P. Young},
title = {The second moment of quadratic twists of modular $L$-functions},
journal = {Journal of the European Mathematical Society},
pages = {1097--1116},
year = {2010},
volume = {12},
number = {5},
doi = {10.4171/jems/224},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/224/}
}
TY - JOUR AU - Kannan Soundararajan AU - Matthew P. Young TI - The second moment of quadratic twists of modular $L$-functions JO - Journal of the European Mathematical Society PY - 2010 SP - 1097 EP - 1116 VL - 12 IS - 5 UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/224/ DO - 10.4171/jems/224 ID - JEMS_2010_12_5_a1 ER -
%0 Journal Article %A Kannan Soundararajan %A Matthew P. Young %T The second moment of quadratic twists of modular $L$-functions %J Journal of the European Mathematical Society %D 2010 %P 1097-1116 %V 12 %N 5 %U http://geodesic.mathdoc.fr/articles/10.4171/jems/224/ %R 10.4171/jems/224 %F JEMS_2010_12_5_a1
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
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