An explicit formula for the orbital integrals on the spherical Hecke algebra of ${\mathrm{GL}}_3$

Sungmun Cho, Yuchan Lee

We provide the explicit formula for orbital integrals associated with elliptic regular semisimple elements in ${\mathrm{GL}}_n(F)\cap {\mathrm{M}}_n(\mathfrak{o})$ and associated with…