The shifted fourth moment of automorphic L-functions of prime power level

Olga Balkanova. "The shifted fourth moment of automorphic L-functions of prime power level." Acta Arithmetica 174.2 (2016): 121-174. <http://eudml.org/doc/286426>.

@article{OlgaBalkanova2016,
abstract = {We prove an asymptotic formula for the fourth moment of automorphic L-functions of level $p^\{ν\}$, where p is a fixed prime number and ν → ∞. This is a continuation of work by Rouymi, who computed the asymptotics of the first three moments at a prime power level, and a generalization of results obtained for a prime level by Duke, Friedlander Iwaniec and Kowalski, Michel VanderKam.},
author = {Olga Balkanova},
journal = {Acta Arithmetica},
keywords = {primitive forms; L-functions; central values; random matrix theory},
language = {eng},
number = {2},
pages = {121-174},
title = {The shifted fourth moment of automorphic L-functions of prime power level},
url = {http://eudml.org/doc/286426},
volume = {174},
year = {2016},
}

TY - JOUR
AU - Olga Balkanova
TI - The shifted fourth moment of automorphic L-functions of prime power level
JO - Acta Arithmetica
PY - 2016
VL - 174
IS - 2
SP - 121
EP - 174
AB - We prove an asymptotic formula for the fourth moment of automorphic L-functions of level $p^{ν}$, where p is a fixed prime number and ν → ∞. This is a continuation of work by Rouymi, who computed the asymptotics of the first three moments at a prime power level, and a generalization of results obtained for a prime level by Duke, Friedlander Iwaniec and Kowalski, Michel VanderKam.
LA - eng
KW - primitive forms; L-functions; central values; random matrix theory
UR - http://eudml.org/doc/286426
ER -