Modular case of Levinson's theorem
Acta Arithmetica (2015)
- Volume: 167, Issue: 3, page 201-237
- ISSN: 0065-1036
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topDamien Bernard. "Modular case of Levinson's theorem." Acta Arithmetica 167.3 (2015): 201-237. <http://eudml.org/doc/278938>.
@article{DamienBernard2015,
abstract = {We evaluate the integral mollified second moment of L-functions of primitive cusp forms and we obtain, for such L-functions, an explicit positive proportion of zeros which lie on the critical line.},
author = {Damien Bernard},
journal = {Acta Arithmetica},
keywords = {L-function; modular form; non-trivial zeros; proportion; Levinson; shifted convolution sums; integral moments; mollified second moment},
language = {eng},
number = {3},
pages = {201-237},
title = {Modular case of Levinson's theorem},
url = {http://eudml.org/doc/278938},
volume = {167},
year = {2015},
}
TY - JOUR
AU - Damien Bernard
TI - Modular case of Levinson's theorem
JO - Acta Arithmetica
PY - 2015
VL - 167
IS - 3
SP - 201
EP - 237
AB - We evaluate the integral mollified second moment of L-functions of primitive cusp forms and we obtain, for such L-functions, an explicit positive proportion of zeros which lie on the critical line.
LA - eng
KW - L-function; modular form; non-trivial zeros; proportion; Levinson; shifted convolution sums; integral moments; mollified second moment
UR - http://eudml.org/doc/278938
ER -
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