On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2
Hoffmann, Werner
Hoffmann
Werner
Wakatsuki, Satoshi
Wakatsuki
Satoshi
We study the non-semisimple terms in the geometric side of the Arthur trace formula for the split symplectic similitude group and the split symplectic group of rank 2 over any algebraic number field. In particular, we express the global coefficients of unipotent orbital integrals in terms of Dedekind zeta functions, Hecke L-functions, and the Shintani zeta function for the space of binary quadratic forms.
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Amer Mathematical Soc
2018