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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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Cusp forms (Mathematics) --- Integrals --- Selberg trace formula
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Eisenstein series --- Selberg trace formula --- Spectral theory (Mathematics)
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Group theory --- Selberg trace formula --- Selberg trace formula. --- 51 --- Functions, Zeta --- Number theory --- Riemann surfaces --- Trace formulas --- Mathematics --- 51 Mathematics
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Mathematical analysis --- Selberg trace formula. --- Automorphic forms. --- Formes automorphes. --- Selberg, Formule de trace de.
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Eisenstein series --- Kleinian groups --- Scattering operator --- Selberg trace formula --- Spectral theory (Mathematics)
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Automorphic functions --- Kleinian groups --- Riemann surfaces --- Selberg trace formula --- Spectral theory (Mathematics)
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The Riemann Zeta-Function (De Gruyter Expositions in Mathematics).
Fonctions zêta --- Functions [Zeta ] --- Funsties [Zêta ] --- Zêta functies --- Functions, Zeta. --- Selberg trace formula. --- Functions, Zeta --- Number theory --- Riemann surfaces --- Trace formulas --- Zeta functions
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