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On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2

On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2

We study the non-semisimple terms in the geometric side of the Arthur trace formula for the split symplectic similitude group or the split symplectic group of rank 2 over any algebraic number field. In particular, we show that the coefficients of unipotent orbital integrals are expressed by the Dedekind zeta …