Coefficient bounds for level 2 cusp forms

Paul Jenkins, and Kyle Pratt. "Coefficient bounds for level 2 cusp forms." Acta Arithmetica 168.4 (2015): 341-367. <http://eudml.org/doc/286269>.

@article{PaulJenkins2015,
abstract = {We give explicit upper bounds for the coefficients of arbitrary weight k, level 2 cusp forms, making Deligne’s well-known $O(n^\{(k-1)/2+ϵ\})$ bound precise. We also derive asymptotic formulas and explicit upper bounds for the coefficients of certain level 2 modular functions.},
author = {Paul Jenkins, Kyle Pratt},
journal = {Acta Arithmetica},
keywords = {cusp forms; explicit bounds; Fourier coefficients},
language = {eng},
number = {4},
pages = {341-367},
title = {Coefficient bounds for level 2 cusp forms},
url = {http://eudml.org/doc/286269},
volume = {168},
year = {2015},
}

TY - JOUR
AU - Paul Jenkins
AU - Kyle Pratt
TI - Coefficient bounds for level 2 cusp forms
JO - Acta Arithmetica
PY - 2015
VL - 168
IS - 4
SP - 341
EP - 367
AB - We give explicit upper bounds for the coefficients of arbitrary weight k, level 2 cusp forms, making Deligne’s well-known $O(n^{(k-1)/2+ϵ})$ bound precise. We also derive asymptotic formulas and explicit upper bounds for the coefficients of certain level 2 modular functions.
LA - eng
KW - cusp forms; explicit bounds; Fourier coefficients
UR - http://eudml.org/doc/286269
ER -