On the numerator of the symplectic Hecke series of degree three

Abstract

We find a different method to compute the generating series in Shimura's conjecture for Sp3, proved by Andrianov in 1967. Formulas for the Satake spherical map for Sp3 are used.

Cited by in corpus (1)

• Explicit formula for the spherical image of the symplectic Hecke series of genus four