5 papers
Quantum ergodicity of Eisenstein series for Bianchi groups
Doyon Kim, Youngmin Lee
We prove the quantum ergodicity of Eisenstein series on the arithmetic hyperbolic 3-manifold , where is an imaginary…
Component groups for non-supercuspidal -parameters for -adic
Kwangho Choiy, Doyon Kim, Razan Taha +1
We explicitly classify all the component groups associated to the non-supercuspidal, tempered -parameters of for a -adic field of characteristic by…
Rational points on varieties defined by multihomogeneous diagonal forms
Doyon Kim, Tian Wang
We give an asymptotic formula for the number of rational points of bounded height on algebraic varieties defined by systems of multihomogeneous diagonal equations. The proof uses t…
Schubert cells and Whittaker functionals for part II: Existence via integration by parts
Doyon Kim
We give a new proof of the existence of Whittaker functionals for principal series representation of , utilizing the analytic theory of distributions. We r…
Schubert cells and Whittaker functionals for part I: Combinatorics
Doyon Kim
We give a formula for a birational map on the Schubert cell associated to each Weyl group element of . The map simplifies the UDL decomposition of matrices, providi…