Henry H. Kim

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20242026

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math.NT2025

Fourier coefficients of Eisenstein series on $SO (3, n + 1)$

Henry H. Kim, Takuya Yamauchi

We explicitly compute Fourier coefficients of Eisenstein series on the special orthogonal group $G = SO (3, n + 1)$ over $Q$ with $n \geq 2$ which splits everywhere at finit…

math.NT2025

Restriction of modular forms on $E_{7, 3}$ to $S p_{6}$

Henry H Kim, Takuya Yamauchi

In this paper, we study the restriction of modular forms such as Ikeda type lifts and the Eisenstein series on the exceptional group of type $E_{7, 3}$ to the symplectic group $Sp_6…

math.NT2025

Central limit theorem for Hecke eigenvalues

Henry H. Kim, Satoshi Wakatsuki, Takuya Yamauchi

In this paper, we obtain the central limit theorem of Hecke eigenvalues in very general setting of split simple algebraic groups over $Q$ , using irreducible characters of…

Fourier coefficients of Eisenstein series on SO(3,n+1)

Restriction of modular forms on E7,3​ to Sp6​

Central limit theorem for Hecke eigenvalues

Fourier coefficients of Eisenstein series on $SO (3, n + 1)$

Restriction of modular forms on $E_{7, 3}$ to $S p_{6}$