Supnorm of modular forms of half-integral weight in the weight aspect
Acta Arithmetica, Tome 177 (2017) no. 3, pp. 201-218
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We bound the supnorm of half-integral weight Hecke eigenforms in the Kohnen plus space of level $4$ in the weight aspect, by combining bounds obtained from the Fourier expansion with the amplification method using a Bergman kernel.
Keywords:
bound supnorm half integral weight hecke eigenforms kohnen plus space level weight aspect combining bounds obtained fourier expansion amplification method using bergman kernel
Affiliations des auteurs :
Raphael S. Steiner 1
@article{10_4064_aa8175_8_2016,
author = {Raphael S. Steiner},
title = {Supnorm of modular forms of half-integral weight in the weight aspect},
journal = {Acta Arithmetica},
pages = {201--218},
publisher = {mathdoc},
volume = {177},
number = {3},
year = {2017},
doi = {10.4064/aa8175-8-2016},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/aa8175-8-2016/}
}
TY - JOUR AU - Raphael S. Steiner TI - Supnorm of modular forms of half-integral weight in the weight aspect JO - Acta Arithmetica PY - 2017 SP - 201 EP - 218 VL - 177 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/aa8175-8-2016/ DO - 10.4064/aa8175-8-2016 LA - en ID - 10_4064_aa8175_8_2016 ER -
Raphael S. Steiner. Supnorm of modular forms of half-integral weight in the weight aspect. Acta Arithmetica, Tome 177 (2017) no. 3, pp. 201-218. doi: 10.4064/aa8175-8-2016
Cité par Sources :