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Spherical image of local Hecke series of genus four
Authors:K. A. Van’kov
Affiliation:(1) Institut Fourier, Université Grenoble 1, Russia
Abstract:
For the spherical image of a polynomial fraction, we obtain the explicit formula conjectured by Shimura in 1963 for generating Hecke series in the particular case of genus 4. As in our previous work, we use formulas due to Andrianov for the Satake spherical map.
Keywords:Hecke operators  Dirichlet series  Euler factorization  spherical map
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