Supnorm of modular forms of half-integral weight in the weight aspect
Volume 177 / 2017
Acta Arithmetica 177 (2017), 201-218
MSC: Primary 11F37.
DOI: 10.4064/aa8175-8-2016
Published online: 1 December 2016
Abstract
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.
