広中 由美子

研究成果

年別の研究成果 1979 2017

• 101 被引用数
• 6 h-index
• 15 Article
• 1 Chapter

年別の研究成果

年別の研究成果

検索結果

• 2017

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

  Hironaka, Y., 2017 12, In: Tokyo Journal of Mathematics. 40, 2, p. 517-564 48 p.

  研究成果: Article › 査読

  • Spherical Functions
  • Unitary matrix
  • Harmonic Analysis
  • Hermitian matrix
  • P-adic

• Zeta functions of finite groups by enumerating subgroups

  Hironaka, Y., 2017 8 3, In: Communications in Algebra. 45, 8, p. 3365-3376 12 p.

  研究成果: Article › 査読

  • P-groups
  • Riemann zeta function
  • Finite Group
  • Subgroup
  • Abelian group
  1 被引用数 (Scopus)
• 2014

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

  Hironaka, Y. & Komori, Y., 2014 3, In: International Journal of Number Theory. 10, 2, p. 513-558 46 p.

  研究成果: Article › 査読

  • Spherical Functions
  • Unitary matrix
  • Hermitian matrix
  • P-adic
  • Explicit Formula
  1 被引用数 (Scopus)
• 2005

  Functional equations of spherical functions on p-adic homogeneous spaces

  Hironaka, Y., 2005 12 1, In: Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg. 75, p. 285-311 27 p.

  研究成果: Article › 査読

  • Spherical Functions
  • Homogeneous Space
  • P-adic
  • Functional equation
  • Prehomogeneous Vector Spaces
  2 被引用数 (Scopus)

• Spherical functions on Sp₂as a spherical homogeneous Sp₂ × (Sp₁)²-space

  Hironaka, Y., 2005 6, In: Journal of Number Theory. 112, 2, p. 238-286 49 p.

  研究成果: Article › 査読

  • Spherical Functions
  • P-adic Fields
  • Vector space
  • Transform
  • Module
  6 被引用数 (Scopus)
• 2000

  Local densities of representations of quadratic forms over p-adic integers (The non-dyadic case)

  Sato, F. & Hironaka, Y., 2000 7, In: Journal of Number Theory. 83, 1, p. 106-136 31 p.

  研究成果: Article › 査読

  • P-adic
  • Symmetric matrix
  • Quadratic form
  • Integral Representation
  • Explicit Formula
  13 被引用数 (Scopus)
• 1999

  Spherical functions and local densities on hermitian forms

  Hironaka, Y., 1999, In: Journal of the Mathematical Society of Japan. 51, 3, p. 553-581 29 p.

  研究成果: Article › 査読

  Open Access

  • Hermitian form
  • Spherical Functions
  • P-adic numbers
  • P-adic Fields
  • Number field
  26 被引用数 (Scopus)
• 1998

  Local Zeta Functions on Hermitian Forms and Its Application to Local Densities

  Hironaka, Y., 1998 7, In: Journal of Number Theory. 71, 1, p. 40-64 25 p.

  研究成果: Article › 査読

  • Hermitian form
  • Riemann zeta function
  • P-adic Fields
  • Hermitian matrix
  • P-adic
  14 被引用数 (Scopus)
• 1993

  Eisenstein series on reductive Symmetrie spaces and representations of Hecke algebras

  Hironaka, Y. & Sato, F., 1993 1 1, In: Journal fur die Reine und Angewandte Mathematik. 1993, 445, p. 45-108 64 p.

  研究成果: Article › 査読
  4 被引用数 (Scopus)
• 1992

  Fourier-Eisenstein transform and Plancherel formula for rational binary quadratic forms

  Hironaka, Y. & Sato, F., 1992 12, In: Nagoya Mathematical Journal. 128, p. 121-151 31 p.

  研究成果: Article › 査読

  Open Access
  1 被引用数 (Scopus)
• 1989

  Local densities of alternating forms

  Hironaka, Y. & Sato, F., 1989 9, In: Journal of Number Theory. 33, 1, p. 32-52 21 p.

  研究成果: Article › 査読

  • Spherical Functions
  • P-adic
  • Riemann zeta function
  • Integral Representation
  • Divisor
  9 被引用数 (Scopus)

• Spherical functions of hermitian and symmetric forms II

  Hironaka, Y., 1989, In: Japanese Journal of Mathematics. 15, 1, p. 15-51 37 p.

  研究成果: Article › 査読
  6 被引用数 (Scopus)
• 1988

  Spherical functions of Hermitian and symmetric forms III

  Hironaka, Y., 1988 12, In: Tohoku Mathematical Journal. 40, 4, p. 651-671 21 p.

  研究成果: Article › 査読
  7 被引用数 (Scopus)
• 1979

  Finite groups with trivial class groups

  Endo, S. & Hironaka, Y., 1979 1, In: Journal of the Mathematical Society of Japan. 31, 1, p. 162-174 13 p.

  研究成果: Article › 査読
  10 被引用数 (Scopus)

• On the structure of the class groups of metacyclic groups

  Hironaka, Y., 1979, In: Osaka Journal of Mathematics. 16, 3, p. 831-841 11 p.

  研究成果: Article › 査読