Research Output per year

## Fingerprint Dive into the research topics where Yumiko Hironaka is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

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Spherical Functions
Mathematics

P-adic
Mathematics

Riemann zeta function
Mathematics

Functional equation
Mathematics

Hermitian matrix
Mathematics

Homogeneous Space
Mathematics

Hermitian form
Mathematics

P-adic Fields
Mathematics

## Research Output 1979 2017

## Harmonic analysis on the space of p-adic unitary hermitian matrices, mainly for dyadic case

Hironaka, Y., 2017 Dec 1, In : Tokyo Journal of Mathematics. 40, 2, p. 517-564 48 p.Research output: Contribution to journal › Article

Spherical Functions

Unitary matrix

Harmonic Analysis

Hermitian matrix

P-adic

## Zeta functions of finite groups by enumerating subgroups

Hironaka, Y., 2017 Jan 7, (Accepted/In press) In : Communications in Algebra. p. 1-12 12 p.Research output: Contribution to journal › Article

P-groups

Riemann zeta function

Finite Group

Subgroup

Abelian group

1
Citation
(Scopus)

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

Hironaka, Y. & Komori, Y., 2014 Mar, In : International Journal of Number Theory. 10, 2, p. 513-558 46 p.Research output: Contribution to journal › Article

Spherical Functions

Unitary matrix

Hermitian matrix

P-adic

Explicit Formula

## Spherical functions on p-adic homogeneous spaces

Hironaka, Y., 2006,*Developments in Mathematics.*Vol. 15. p. 81-95 15 p. (Developments in Mathematics; vol. 15).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Spherical Functions

Homogeneous Space

P-adic

Functional equation

2
Citations
(Scopus)

## Functional equations of spherical functions on p-adic homogeneous spaces

Hironaka, Y., 2005 Dec, In : Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 75, 1, p. 285-311 27 p.Research output: Contribution to journal › Article

Spherical Functions

Homogeneous Space

P-adic

Functional equation

Prehomogeneous Vector Spaces