Geodesic
Spherical Image of Local Hecke Series of Genus Four
Matematičeskie zametki, Tome 81 (2007) no. 5, pp. 676-680 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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     title = {Spherical {Image} of {Local} {Hecke} {Series} of {Genus} {Four}},
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K. A. Vankov. Spherical Image of Local Hecke Series of Genus Four. Matematičeskie zametki, Tome 81 (2007) no. 5, pp. 676-680. http://geodesic.mathdoc.fr/item/MZM_2007_81_5_a3/

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