ON FOURIER COEFFICIENTS OF SIEGEL MODULAR FORMS OF DEGREE TWO WITH RESPECT TO CONGRUENCE SUBGROUPS

CHIDA, MASATAKA; KATSURADA, HIDENORI; MATSUMOTO, KOHJI

Hokkaido University Preprint Series in Mathematics, 2011, 990, 1-16

Permalink : https://doi.org/10.14943/84137

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DOI	https://doi.org/10.14943/84137
URI	https://hdl.handle.net/2115/69796
タイトル	ON FOURIER COEFFICIENTS OF SIEGEL MODULAR FORMS OF DEGREE TWO WITH RESPECT TO CONGRUENCE SUBGROUPS
著者	CHIDA, MASATAKA ; KATSURADA, HIDENORI ; MATSUMOTO, KOHJI
著者名 CHIDA, MASATAKA
著者名 KATSURADA, HIDENORI
著者名 MATSUMOTO, KOHJI
言語	英語
キーワード	Siegel modular form
	Fourier coefficients
	Petersson formula
発行日	2011-12-08
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	990
ページ	1-16
抄録	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 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.
資源タイプ	紀要論文
出版タイプ	Version of Record