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Matematicheskie Zametki, 2007, Volume 81, Issue 5, Pages 676–680
DOI: https://doi.org/10.4213/mzm3722 (Mi mzm3722) 		 
Spherical Image of Local Hecke Series of Genus Four

K. A. Vankov

University of Grenoble 1 — Joseph Fourier
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DOI: https://doi.org/10.4213/mzm3722
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.
Received: 10.09.2006
Revised: 12.11.2006
English version:
Mathematical Notes, 2007, Volume 81, Issue 5, Pages 605–608
DOI: https://doi.org/10.1134/S0001434607050045
Bibliographic databases:
UDC: 511.38+511.331+512.743
Language: Russian
Citation: K. A. Vankov, “Spherical Image of Local Hecke Series of Genus Four”, Mat. Zametki, 81:5 (2007), 676–680; Math. Notes, 81:5 (2007), 605–608
Citation in format AMSBIB
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