Takuya Yamauchi

collaborators

5 papers

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

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…

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…

math.NT2024

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)…

The Kodaira dimension of even-dimensional ball quotients

Computing algebraic Belyi functions on Bring's curve

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

Central limit theorem for Hecke eigenvalues

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

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

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