2024-03-28T13:22:03Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/697962022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116ON FOURIER COEFFICIENTS OF SIEGEL MODULAR FORMS OF DEGREE TWO WITH RESPECT TO CONGRUENCE SUBGROUPSCHIDA, MASATAKAKATSURADA, HIDENORIMATSUMOTO, KOHJISiegel modular formFourier coefficientsPetersson formula410We 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 coefficient. 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.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69796info:doi/10.14943/84137https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69796/1/pre990.pdfHokkaido University Preprint Series in Mathematics9901162011-12-08engpublisher