This article is cited in 1 paper

Spherical Image of Local Hecke Series of Genus Four

K. A. Vankov

University of Grenoble 1 — Joseph Fourier

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.

UDC: 511.38+511.331+512.743

Received: 10.09.2006
Revised: 12.11.2006

DOI: 10.4213/mzm3722

 English version: Mathematical Notes, 2007, 81:5, 605–608

Bibliographic databases:

• 
• 
• 
• 
• 
•