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arxiv: math/0606701 · v1 · submitted 2006-06-28 · 🧮 math.NT

Differential eigenforms

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keywords differentialeigenformsformsmodularweightabeliancertaincharacters
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The aim of this paper is to show how differential characters of Abelian varieties can be used to construct differential modular forms of weight 0 and order 2 which are eigenvectors of Hecke operators. These differential modular forms have "essentially the same" eigenvalues as certain classical complex eigenforms of weight 2.

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