3 papers
math.NT2024
Stable orbital integrals for classical Lie algebras and smooth integral models
Sungmun Cho, Taeyeoup Kang, Yuchan Lee
A main goal of this paper is to introduce a new description of the stable orbital integral for a regular semisimple element and for the unit element of the Hecke algebra in the cas…
math.NT2024
An explicit formula for the orbital integrals on the spherical Hecke algebra of
Sungmun Cho, Yuchan Lee
We provide the explicit formula for orbital integrals associated with elliptic regular semisimple elements in and associated with…
math.NT2024
On the Siegel series in terms of lattice counting
Sungmun Cho, Taeyeoup Kang
In this paper we describe each coefficient of the Siegel series associated to a quadratic -lattice in terms of lattice counting problems, where is…