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
- Proc. Amer. Math. Soc. 130 (2002), 2497-2502
- DOI: https://doi.org/10.1090/S0002-9939-02-06609-1
- Published electronically: April 17, 2002
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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.References
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Bibliographic Information
- Srinath Baba
- Affiliation: Department of Mathematics and Statistics, McGill University, Montreal, Quebec, Canada H3A 2K6
- Email: sbaba@math.mcgill.ca
- Kalyan Chakraborty
- Affiliation: School of Mathematics, Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad, 211019, India
- Email: kalyan@mri.ernet.in
- Yiannis N. Petridis
- Affiliation: Department of Mathematics and Statistics, McGill University, Montreal, Quebec, Canada H3A 2K6
- Email: petridis@math.mcgill.ca
- Received by editor(s): February 27, 2001
- Published electronically: April 17, 2002
- Communicated by: Dennis A. Hejhal
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 2497-2502
- MSC (2000): Primary 11F41; Secondary 11F30
- DOI: https://doi.org/10.1090/S0002-9939-02-06609-1
- MathSciNet review: 1900854