Deformation of Γ0(5)-cusp forms

نویسنده

  • Helen Avelin
چکیده

We develop an algorithm for numerical computation of the Eisenstein series on a Riemann surface of constant negative curvature. We focus in particular on the computation of the poles of the Eisenstein series. Using our numerical methods, we study the spectrum of the Laplace–Beltrami operator as the surface is being deformed. Numerical evidence of the destruction of Γ0(5)-cusp forms is presented.

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عنوان ژورنال:
  • Math. Comput.

دوره 76  شماره 

صفحات  -

تاریخ انتشار 2007