TY - JOUR
T1 - On Fourier coefficients of Siegel modular forms of degree two with respect to congruence subgroups
AU - Chida, Masataka
AU - Katsurada, Hidenori
AU - Matsumoto, Kohji
PY - 2014/4
Y1 - 2014/4
N2 - 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.
AB - 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.
KW - Fourier coefficients
KW - Petersson formula
KW - Siegel modular form
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U2 - 10.1007/s12188-013-0087-x
DO - 10.1007/s12188-013-0087-x
M3 - Article
AN - SCOPUS:84899974823
VL - 84
SP - 31
EP - 47
JO - Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
JF - Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
SN - 0025-5858
IS - 1
ER -