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

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

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The authors 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, they 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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