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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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