Supnorm of modular forms of half-integral weight in the weight aspect

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2017Embargo end date: 01 Jan 2015 English Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Acta Arithmetica, volume 177, pages 201-218 (issn: 0065-1036, eissn: 1730-6264,

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Authors: Steiner, Raphael S.;

doi: 10.4064/aa8175-8-2016 , 10.48550/arxiv.1504.08246

arXiv: 1504.08246

Supnorm of modular forms of half-integral weight in the weight aspect

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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.

13 pages

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University of Bristol
United Kingdom

Keywords

supnorm, Mathematics - Number Theory, 11F37, FOS: Mathematics, modular forms of half-integral weight, Number Theory (math.NT), Forms of half-integer weight; nonholomorphic modular forms

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