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"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."--

Selberg trace formula. --- Trace formulas. --- Geometry, Algebraic. --- Symplectic groups. --- Formule de trace de Selberg --- Formules de trace --- Géométrie algébrique --- Groupes symplectiques --- Selberg, Formule de trace de --- Selberg trace formula --- Trace formulas --- Geometry, Algebraic --- Symplectic groups --- Functions, Zeta --- Number theory --- Riemann surfaces --- Groups, Symplectic --- Linear algebraic groups --- Algebraic geometry --- Geometry --- Formulas, Trace --- Automorphic forms --- Discontinuous groups --- Representations of groups --- Selberg, Formule de trace de. --- Formules de trace. --- Géométrie algébrique. --- Groupes symplectiques.