| Authors |
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| Publication date |
2015
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| Journal |
International Journal of Mathematics
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| Article number |
1550034
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| Volume | Issue number |
26 | 05
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| Number of pages |
51
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| Organisations |
-
Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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| Abstract |
We study vector-valued Siegel modular forms of genus 2 on the three level 2 groups Γ[2] ◁ Γ1[2] ◁ Γ0[2] ⊂ Sp(4, ℤ). We give generating functions for the dimension of spaces of vector-valued modular forms, construct various vector-valued modular forms by using theta functions and describe the structure of certain modules of vector-valued modular forms over rings of scalar-valued Siegel modular forms.
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| Document type |
Article
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| Language |
English
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| Published at |
https://doi.org/10.1142/S0129167X15500342
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