Siegel modular forms of genus 2 and level 2
| Authors |
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| Publication date | 2015 |
| Journal | International Journal of Mathematics |
| Article number | 1550034 |
| Volume | Issue number | 26 | 05 |
| Number of pages | 51 |
| Organisations |
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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. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.1142/S0129167X15500342
(Final published version)
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