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arxiv: 1008.2288 · v1 · pith:RB46537Wnew · submitted 2010-08-13 · 🧮 math.NT

A note on Fourier coefficients of Poincar\'e series

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keywords coefficientsformsfourierpoincarseriesasymptoticclassicalcusp
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We give a short and "soft" proof of the asymptotic orthogonality of Fourier coefficients of Poincar\'e series for classical modular forms as well as for Siegel cusp forms, in a qualitative form.

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