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Taylor Expansions of Modular Forms at CM Points

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  • Additional Information
    • Contributors:
      Schwagenscheidt, Markus
    • Publication Information:
      ETH Zurich
    • Publication Date:
      2023
    • Collection:
      ETH Zürich Research Collection
    • Abstract:
      We use the method of Zagier-Villegas to demonstrate that the Taylor coefficients of the j-invariant is non-vanishing at the CM points of order 2 and 3. Presents a general sagemath implementation for computing periodic and non-vanishing behaviour of Taylor coefficients of arbitrary modular forms at these CM points.
    • File Description:
      application/application/pdf
    • Relation:
      http://hdl.handle.net/20.500.11850/646162
    • Accession Number:
      10.3929/ethz-b-000646162
    • Online Access:
      https://doi.org/20.500.11850/646162
      https://doi.org/10.3929/ethz-b-000646162
      https://hdl.handle.net/20.500.11850/646162
    • Rights:
      info:eu-repo/semantics/openAccess ; http://rightsstatements.org/page/InC-NC/1.0/ ; In Copyright - Non-Commercial Use Permitted
    • Accession Number:
      edsbas.240F61EC