Pfaffian equations satisfied by differential modular forms
نویسندگان
چکیده
منابع مشابه
Differential Equations Satisfied by Modular Forms and K3 Surfaces
We study differential equations satisfied by modular forms of two variables associated to Γ1×Γ2, where Γi (i = 1, 2) are genus zero subgroups of SL2(R) commensurable with SL2(Z), e.g., Γ0(N) or Γ0(N)∗ for some N . In some examples, these differential equations are realized as the Picard–Fuchs differential equations of families of K3 surfaces with large Picard numbers, e.g., 19, 18, 17, 16. Our ...
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A~tract, In 1956, Rankin described which polynomials in the derivatives of modular forms are again modular forms, and in 1977, H Cohen defined for each n i> 0 a bilinear operation which assigns to two modular forms f and g of weight k and l a modular form If, g], of weight k + l + 2n. In the present paper we study these "Rankin-Cohen brackets" from t w o points of view. On the one hand we give ...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2004
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2004.v11.n4.a5