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We prove a conjecture of Calegari and Stein regarding mod p congruences between modular forms of weight four and the derivatives of modular forms of weight two. 相似文献
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Mugurel A. Barcau 《Compositio Mathematica》2003,137(3):237-273
The purpose of this article is to develop the theory of differential modular forms introduced by A. Buium. The main points are the construction of many isogeny covariant differential modular forms and some auxiliary (nonisogeny covariant) forms and an extension of the classical theory of Serre differential operators on modular forms to a theory of -Serre differential operators on differential modular forms. As an application, we shall give a geometric realization of the space of elliptic curves up to isogeny. 相似文献
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