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Quadratic modular symbols

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Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas Aims and scope Submit manuscript

Abstract

We study a special kind of homology cycles of the modular curve X 0(N). For a newform of weight 2 for Γ0(N), we construct a p-adic L-function by using these cycles. If the newform is defined over \({\mathbb{Q}}\), this p-adic L-function gives rise to algebraic points of the attached elliptic curve.

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Authors and Affiliations

  1. Facultad de Matemáticas, Universidad de Barcelona, Gran Via de les Corts Catalanes, 585, 08007, Barcelona, Spain

    Pilar Bayer & Iván Blanco-Chacón

Authors
  1. Pilar Bayer
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  2. Iván Blanco-Chacón
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Correspondence to Iván Blanco-Chacón.

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Partially supported by MTM2009-07024.

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Bayer, P., Blanco-Chacón, I. Quadratic modular symbols. RACSAM 106, 429–441 (2012). https://doi.org/10.1007/s13398-012-0061-y

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  • DOI: https://doi.org/10.1007/s13398-012-0061-y

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