Yumiko Hironaka

activity

20092023

most citedHarmonic analysis on the space of

p

-adic unitary hermitian matrices, including dyadic case

1 citations · 1 across the 8 of their papers we have counts for

collaborators

8 papers

math.NT2023

Local densities of $p$ -adic quaternion hermitian forms

Yumiko Hironaka

We consider local densities for $p$ -adic quaternion hermitian forms (hermitian forms over a division quaternion algebra over a $p$ -adic field $k$ ). The author has studi…

math.NT2020

Spherical functions and local densities on the space of $p$ -adic quaternion hermitian matrices

Yumiko Hironaka

We introduce the space $X$ of quaternion hermitian forms of size $n$ on a $p$ -adic field with odd residual characteristic, and define typical spherical functions $ω(x;s…

math.NT2016★ 1 cited

Harmonic analysis on the space of $p$ -adic unitary hermitian matrices, including dyadic case

Yumiko Hironaka

We are interested in the harmonic analysis on $p$ -adic homogeneous spaces based on spherical functions. In the present paper, we investigate the space $X$ of unitary hermitian matr…

math.GR2014

Zeta functions of finite groups by enumerating subgroups

Yumiko Hironaka

For a finite group $G$ , we consider the zeta function $ζ_G(s) = \sum_{H} \abs{H}^{-s}$, where $H$ runs over the subgroups of $G$ . First we give simple examples of abelian $p$ -group…

math.NT2014

Spherical functions on the space of $p$ -adic unitary hermitian matrices II, the case of odd size

Yumiko Hironaka, Yasushi Komori

We are interested in the harmonic analysis on $p$ -adic homogeneous spaces based on spherical functions. In the present paper, we investigate the space $X$ of unitary hermitian matr…

math.NT2012

Spherical functions on the space of $p$ -adic unitary hermitian matrices

Yumiko Hironaka, Yasushi Komori

We investigate the space $X$ of unitary hermitian matrices over $\frp$-adic fields through spherical functions. First we consider Cartan decomposition of $X$ , and give precise repr…

Local densities of p-adic quaternion hermitian forms

Spherical functions and local densities on the space of p-adic quaternion hermitian matrices

Harmonic analysis on the space of p-adic unitary hermitian matrices, including dyadic case

Zeta functions of finite groups by enumerating subgroups

Spherical functions on the space of p-adic unitary hermitian matrices II, the case of odd size

Spherical functions on the space of p-adic unitary hermitian matrices

Local densities of $p$ -adic quaternion hermitian forms

Spherical functions and local densities on the space of $p$ -adic quaternion hermitian matrices

Harmonic analysis on the space of $p$ -adic unitary hermitian matrices, including dyadic case

Spherical functions on the space of $p$ -adic unitary hermitian matrices II, the case of odd size

Spherical functions on the space of $p$ -adic unitary hermitian matrices