On the graded ring of Siegel modular forms of degree 2, level 3

On the graded ring of Siegel modular forms of degree 2, level 3

In general, it is difficult to determine the dimension of the space of Siegel modular forms with low weight. In this paper, we consider the spaces of modular forms belonging to the principal congruence subgroup of level 3 as the representation spaces of the finite symplectic group to calculate their...

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Veröffentlicht in:Journal of the Mathematical Society of Japan 2004, Vol.56 (2), p.375-403
1. Verfasser: GUNJI, Keiichi
Format: Artikel
Sprache:eng
Schlagworte:
11F27
11F46
Siegel modular forms
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Zusammenfassung:In general, it is difficult to determine the dimension of the space of Siegel modular forms with low weight. In this paper, we consider the spaces of modular forms belonging to the principal congruence subgroup of level 3 as the representation spaces of the finite symplectic group to calculate their dimensions.
ISSN:0025-5645
1881-2333
DOI:10.2969/jmsj/1191418636