On the number of fourier coefficients that determine a hilbert modular form

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On the number of fourier coefficients that determine a hilbert modular form

Year : 2002

Source Title : Proceedings of the American Mathematical Society

Document Type :

Abstract

We estimate the number of Fourier coefficients that determine a Hilbert modular cusp form of arbitrary weight and level. The method is spectral (Rayleigh quotient) and avoids the use of the maximum principle.