The second moment of quadratic twists of modular L-functions

Soundararajan, K., and Young, Matthew P.. "The second moment of quadratic twists of modular L-functions." Journal of the European Mathematical Society 012.5 (2010): 1097-1116. <http://eudml.org/doc/277417>.

@article{Soundararajan2010,
abstract = {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.},
author = {Soundararajan, K., Young, Matthew P.},
journal = {Journal of the European Mathematical Society},
keywords = {modular form; twisted $L$-function; second moment; Keating-Snaith asymptotics; modular form; twisted -function; second moment; Keating-Snaith asymptotics},
language = {eng},
number = {5},
pages = {1097-1116},
publisher = {European Mathematical Society Publishing House},
title = {The second moment of quadratic twists of modular L-functions},
url = {http://eudml.org/doc/277417},
volume = {012},
year = {2010},
}

TY - JOUR
AU - Soundararajan, K.
AU - Young, Matthew P.
TI - The second moment of quadratic twists of modular L-functions
JO - Journal of the European Mathematical Society
PY - 2010
PB - European Mathematical Society Publishing House
VL - 012
IS - 5
SP - 1097
EP - 1116
AB - 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.
LA - eng
KW - modular form; twisted $L$-function; second moment; Keating-Snaith asymptotics; modular form; twisted -function; second moment; Keating-Snaith asymptotics
UR - http://eudml.org/doc/277417
ER -