On the 4-norm of an automorphic form

@article{Blomer2013,
abstract = {We prove the optimal upper bound $\sum _f\left\Vert f\right\Vert ^4_4\ll q^\epsilon $ where $f$ runs over an orthonormal basis of Maass cusp forms of prime level $q$ and bounded spectral parameter.},
author = {Blomer, Valentin},
journal = {Journal of the European Mathematical Society},
keywords = {$L^p$-norm; triple product $L$-functions; character sums; -norm; triple product -functions; character sums},
language = {eng},
number = {5},
pages = {1825-1852},
publisher = {European Mathematical Society Publishing House},
title = {On the 4-norm of an automorphic form},
url = {http://eudml.org/doc/277271},
volume = {015},
year = {2013},
}

TY - JOUR
AU - Blomer, Valentin
TI - On the 4-norm of an automorphic form
JO - Journal of the European Mathematical Society
PY - 2013
PB - European Mathematical Society Publishing House
VL - 015
IS - 5
SP - 1825
EP - 1852
AB - We prove the optimal upper bound $\sum _f\left\Vert f\right\Vert ^4_4\ll q^\epsilon $ where $f$ runs over an orthonormal basis of Maass cusp forms of prime level $q$ and bounded spectral parameter.
LA - eng
KW - $L^p$-norm; triple product $L$-functions; character sums; -norm; triple product -functions; character sums
UR - http://eudml.org/doc/277271
ER -