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arxiv: 1205.4063 · v1 · pith:MVKNHHHAnew · submitted 2012-05-18 · 🧮 math.NT

Characterizing Hilbert modular cusp forms by coefficient size

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keywords hilbertmodularcoefficientscuspformformsfouriersize
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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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