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On Fourier coefficients of Siegel modular forms of degree two with respect to congruence subgroups |
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| Authors: | Masataka Chida Hidenori Katsurada Kohji Matsumoto |
| Affiliation: | 1. Department of Mathematics, Graduate School of Science, Kyoto University, Kyoto?, 606-8502, Japan 2. Muroran Institute of Technology, 27-1 Mizumoto, Muroran?, 050-8585, Japan 3. Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya?, 464-8602, Japan |
| Abstract: | We prove a formula of Petersson’s type for Fourier coefficients of Siegel cusp forms of degree 2 with respect to congruence subgroups, and as a corollary, show upper bound estimates of individual Fourier coefficients. The method in this paper is essentially a generalization of Kitaoka’s previous work which studied the full modular case, but some modification is necessary to obtain estimates which are sharp with respect to the level aspect. |
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