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Differential eigenforms

Number Theory 2007-05-23 v1

Abstract

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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Cite

@article{arxiv.math/0606701,
  title  = {Differential eigenforms},
  author = {Alexandru Buium},
  journal= {arXiv preprint arXiv:math/0606701},
  year   = {2007}
}

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29 pages