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arXiv · 1504.08246

Supnorm of Modular Forms of half-integral Weight in the Weight Aspect

Raphael S. Steiner
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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.

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Raphael S. Steiner. 2015-05-25. Supnorm of Modular Forms of half-integral Weight in the Weight Aspect. https://doi.org/10.4064/aa8175-8-2016

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