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math.NT2026
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…
math.NT2025
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…