Henry H. Kim

activity

20242026

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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

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…

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

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

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

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