Henry H. Kim

collaborators

6 papers

math.NT2026

On explicit Fourier expansions of theta lifts to $SO (3, n + 1)$ arising from elliptic newforms of level one

Henry H. Kim, Takuya Yamauchi

Using degenerate Whittaker functions and explicit computations of Eisenstein series, we obtain explicit formulas for the Fourier expansions of theta lifts to the special orthogonal…

math.NT2026

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.NT2026

Rationality of quaternionic Eisenstein series on $U (2, n)$

Henry H. Kim, Yi Shan

Let $G = U (2, n)$ be the unitary group associated to a Hermitian space over a quadratic imaginary number field $E$ . We assume that 2 is unramified in $E$ , and the He…

math.NT2025

On the Fourier expansion of Gan-Gurevich lifts on the exceptional group of type $G_{2}$

Henry H. Kim, Takuya Yamauchi

By using the degenerate Whittaker functions, we study the Fourier expansion of the Gan-Gurevich lifts which are Hecke eigen quaternionic cusp forms of weight $k$ ( $k \geq 2$ , even)…

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…

On explicit Fourier expansions of theta lifts to SO(3,n+1) arising from elliptic newforms of level one

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

Rationality of quaternionic Eisenstein series on U(2,n)

On the Fourier expansion of Gan-Gurevich lifts on the exceptional group of type G2​

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

Central limit theorem for Hecke eigenvalues

On explicit Fourier expansions of theta lifts to $SO (3, n + 1)$ arising from elliptic newforms of level one

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

Rationality of quaternionic Eisenstein series on $U (2, n)$

On the Fourier expansion of Gan-Gurevich lifts on the exceptional group of type $G_{2}$

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