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On the geometric side of the Arthur trace formula for the symplectic group of rank 2 (1310.0541v1)
Published 2 Oct 2013 in math.NT and math.RT
Abstract: 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 function, Hecke L-functions, and the Shintani zeta function for the space of binary quadratic forms.