Nagoya Mathematical Journal · 1995 · 40 citations · 9 references
Natural SciencesMathematicsAlgebraGeometryNumber TheoryAbstract AlgebraArithmetic GeometryGalois TheoryGroup TheoryModular ArithmeticModular FormsGraded RingsHecke AlgebrasModular Form ComputationsSiegel Modular Forms
In this paper we compute dimension formulas for rings of Siegel modular forms of genus g = 3. Let denote the main congruence subgroup of level two, the Hecke subgroup of level two and the full modular group. We give the dimension formulas for genus g = 3 for the above mentioned groups and determine the graded ring of modular forms with respect to .
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Hilbert functions of graded algebras
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