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Modular forms of real weights and generalized Dedekind symbols

Number Theory 2016-01-05 v1

Abstract

In a previous paper, I have defined non--commutative generalized Dedekind symbols for classical PSL(2,Z)PSL(2,Z)--cusp forms using iterated period polynomials. Here I generalize this construction to forms of real weights using their iterated period functions introduced and studied in a recent article by R.~Bruggeman and Y.~Choie.

Keywords

Cite

@article{arxiv.1601.00096,
  title  = {Modular forms of real weights and generalized Dedekind symbols},
  author = {Yuri I. Manin},
  journal= {arXiv preprint arXiv:1601.00096},
  year   = {2016}
}

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16 pages