Takuya Yamauchi

collaborators

7 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.AG2025

The Kodaira dimension of even-dimensional ball quotients

Shuji Horinaga, Yota Maeda, Takuya Yamauchi

We prove that, up to scaling, there exist only finitely many isometry classes of Hermitian lattices over $O_{E}$ of signature $(1, n)$ that admit ball quotients of non-general type, w…

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

Computing algebraic Belyi functions on Bring's curve

Madoka Horie, Takuya Yamauchi

In this paper, we explicitly compute two kinds of algebraic Belyi functions on Bring's curve. One is related to a congruence subgroup of $SL_{2} (Z)$ and the other is r…

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)

The Kodaira dimension of even-dimensional ball quotients

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

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

Computing algebraic Belyi functions on Bring's curve

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 $SO (3, n + 1)$

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 $S p_{6}$