A Note on Fourier-Jacobi coefficients of Siegel modular forms
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🧮 math.NT
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coefficientsfourier-jacobiresultsiegelarithmeticarticlecuspestimate
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Let F be a Siegel cusp form of weight k and genus n>1 with Fourier-Jacobi coefficients f_m. In this article, we estimate the growth of the Petersson norms of f_m, where m runs over an arithmetic progression. This result sharpens a recent result of Kohnen in [5].
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