Abstract
We employ recent results on Jacobi forms to investigate congruences and filtrations of Siegel modular forms of degree 2. In particular, we determine when an analog of Atkin's U(p)-operator applied to a Siegel modular form of degree 2 is nonzero modulo a prime p. Furthermore, we discuss explicit examples to illustrate our results.
Original language | English |
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Pages (from-to) | 1455-1466 |
Number of pages | 12 |
Journal | Annales de l'Institut Fourier |
Volume | 61 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2011 |
Externally published | Yes |
Keywords
- Congruences
- Siegel modular forms
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology