On the geometric side of the Arthur trace formula for the symplectic group of rank 2

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.

Cited by in corpus (4)

• On the continuity of the geometric side of the trace formula
• A Global Trace Formula for Reductive Lie Algebras and the Harish-Chandra Transform on the Space of Characteristic Polynomials
• The dimensions of spaces of Siegel cusp forms of general degree
• The subregular unipotent contribution to the geometric side of the Arthur trace formula for the split exceptional group $G_2$