1Department of Mathematics Brigham Young University Provo, UT 84602, U.S.A. 2Department of Mathematics The University of Illinois at Urbana-Champaign Urbana, IL 61801, U.S.A.
Acta Arithmetica, Tome 168 (2015) no. 4, pp. 341-367
We give explicit upper bounds for the coefficients of arbitrary weight $k$, level 2 cusp forms, making Deligne's well-known $O(n^{(k-1)/{2}+\epsilon })$ bound precise. We also derive asymptotic formulas and explicit upper bounds for the coefficients of certain level 2 modular functions.
Keywords:
explicit upper bounds coefficients arbitrary weight nbsp level cusp forms making delignes well known k epsilon bound precise derive asymptotic formulas explicit upper bounds coefficients certain level modular functions
Affiliations des auteurs :
Paul Jenkins
1
;
Kyle Pratt
2
1
Department of Mathematics Brigham Young University Provo, UT 84602, U.S.A.
2
Department of Mathematics The University of Illinois at Urbana-Champaign Urbana, IL 61801, U.S.A.
@article{10_4064_aa168_4_2,
author = {Paul Jenkins and Kyle Pratt},
title = {Coefficient bounds for level 2 cusp forms},
journal = {Acta Arithmetica},
pages = {341--367},
year = {2015},
volume = {168},
number = {4},
doi = {10.4064/aa168-4-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/aa168-4-2/}
}
TY - JOUR
AU - Paul Jenkins
AU - Kyle Pratt
TI - Coefficient bounds for level 2 cusp forms
JO - Acta Arithmetica
PY - 2015
SP - 341
EP - 367
VL - 168
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.4064/aa168-4-2/
DO - 10.4064/aa168-4-2
LA - en
ID - 10_4064_aa168_4_2
ER -
%0 Journal Article
%A Paul Jenkins
%A Kyle Pratt
%T Coefficient bounds for level 2 cusp forms
%J Acta Arithmetica
%D 2015
%P 341-367
%V 168
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4064/aa168-4-2/
%R 10.4064/aa168-4-2
%G en
%F 10_4064_aa168_4_2
Paul Jenkins; Kyle Pratt. Coefficient bounds for level 2 cusp forms. Acta Arithmetica, Tome 168 (2015) no. 4, pp. 341-367. doi: 10.4064/aa168-4-2
