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• W4379010503 abstract "We prove several dimension formulas for spaces of scalar-valued Siegel modular forms of degree 2 with respect to certain congruence subgroups of level 4. In case of cusp forms, all modular forms considered originate from cuspidal automorphic representations of GSp ( 4 , A ) ${rm GSp}(4,{mathbb {A}})$ whose local component at p = 2 $p=2$ admits nonzero fixed vectors under the principal congruence subgroup of level 2. Using known dimension formulas combined with dimensions of spaces of fixed vectors in local representations at p = 2 $p=2$ , we obtain formulas for the number of relevant automorphic representations. These, in turn, lead to new dimension formulas, in particular for Siegel modular forms with respect to the Klingen congruence subgroup of level 4." @default.
• W4379010503 created "2023-06-02" @default.
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• W4379010503 date "2023-05-31" @default.
• W4379010503 modified "2023-09-24" @default.
• W4379010503 title "Dimension formulas for Siegel modular forms of level 4" @default.
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• W4379010503 doi "https://doi.org/10.1112/mtk.12207" @default.
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