Congruences for Siegel modular forms

  title={Congruences for Siegel modular forms},
  author={Dohoon Choi and YoungJu Choie and Olav K. Richter},
— 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. Résumé. — Nous utilisons des résultats récents sur les formes de Jacobi pour étudier des congruences et des filtrations des formes modulaires de Siegel de degré 2… CONTINUE READING

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