Characterizing Hilbert modular cusp forms by coefficient size

Benjamin Linowitz

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arXiv · 1205.4063

Characterizing Hilbert modular cusp forms by coefficient size

Benjamin Linowitz

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Abstract

Associated to an (adelic) Hilbert modular form is a sequence of `Fourier coefficients' which uniquely determine the form. In this paper we characterize Hilbert modular cusp forms by the size of their Fourier coefficients. This answers in the affirmative a question posed by Winfried Kohnen.

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Benjamin Linowitz. 2012-05-18. Characterizing Hilbert modular cusp forms by coefficient size. https://arxiv.org/abs/1205.4063

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