Supnorm of modular forms of half-integral weight in the weight aspect
Acta Arithmetica, Tome 177 (2017) no. 3, pp. 201-218.

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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.
DOI : 10.4064/aa8175-8-2016
Keywords: bound supnorm half integral weight hecke eigenforms kohnen plus space level weight aspect combining bounds obtained fourier expansion amplification method using bergman kernel

Raphael S. Steiner 1

1 Department of Mathematics University of Bristol Bristol BS8 1TW, UK
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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. http://geodesic.mathdoc.fr/articles/10.4064/aa8175-8-2016/

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