On the number of Fourier coefficients that determine a Hilbert modular form

Baba, Srinath; Chakraborty, Kalyan; Petridis, Yiannis

doi:10.1090/S0002-9939-02-06609-1

On the number of Fourier coefficients that determine a Hilbert modular form
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by Srinath Baba, Kalyan Chakraborty and Yiannis N. Petridis PDF

Proc. Amer. Math. Soc. 130 (2002), 2497-2502 Request permission

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.

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