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On the number of Fourier coefficients that determine a Hilbert modular form |
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| Authors: | Srinath Baba Kalyan Chakraborty Yiannis N Petridis |
| Institution: | Department of Mathematics and Statistics, McGill University, Montreal, Quebec, Canada H3A 2K6 ; School of Mathematics, Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad, 211019, India ; Department of Mathematics and Statistics, McGill University, Montreal, Quebec, Canada H3A 2K6 |
| 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. |
| Keywords: | Hilbert modular forms Fourier coefficients |
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