• A
  • A
  • A
日本語 Help
Science and technology information site for articles, patents, researchers information, etc.

Co-authoring Researcher

Co-inventing Researcher

Researcher similar to the Researcher

Article similar to the Researcher

Patent similar to the Researcher

Research Project similar to the Researcher

Article(J-GLOBAL estimation)

Patent(J-GLOBAL estimation)

Rchr
J-GLOBAL ID:201401093025578046   Update date: Oct. 19, 2024

Onishi Yoshihiro

オオニシ ヨシヒロ | Onishi Yoshihiro
Clips
Affiliation and department:
Homepage URL  (1): http://math-meijo-u.heteml.net
Research field  (2): Algebra ,  Mathematical analysis
Research keywords  (20): Abel 函数 ,  algebraic curves ,  アーベル函数 ,  Bernoulli numbers ,  complex multiplication ,  Kiepert's formula ,  algebraic functions ,  Hurwitz numbers ,  ヤコビ多様体 ,  multiplication formula ,  Jacobian varieties ,  elliptic Gauss sums ,  アーベル関数 ,  hyperelliptic curves ,  Gauss sums ,  Frobenius-Stickelberger ,  Bernoulli-Hurwitz numbers ,  division polynomials ,  theta functions ,  elliptic functions
Research theme for competitive and other funds  (15):
  • 2016 - 2019 Research on characterization of the fundamental function sigma in the theory of Abelian functions via heat equations and general addition formulae
  • 2013 - 2016 Construction of concrete theory of Abelian functions focusing the multivariate sigma functions
  • 2011 - 2015 Difference equations related with higher genus algebraic curves
  • 2010 - 2012 Elaborate construction of a concrete theoryof Abelian functions
  • 2007 - 2009 Research toward to construct a concrete theory of Abelian functions
Show all
Papers (14):
  • Y. Onishi, F. Sairaiji. Arithmetic over the Gaussian number field on a certain family of elliptic curves with complex multiplication. RIMS Kôkyûroku Bessatsu. 2021. 1-22
  • John Chris Eilbeck, Yoshihiro Onishi. Recursion relations on the power series expansion of the universal Weierstrass sigma function. RIMS Kôkyûroku Bessatsu. 2020. 78. 77-98
  • Yoshihiro Onishi. Arithmetical power series expansion of the sigma function for a plane curve. Proceedings of the Edinburgh Mathematical Society. 2018. 61. 4. 995-1022
  • Yoshihiro Ônishi. Generalized Bernoulli-Hurwitz numbers and the universal Bernoulli numbers. Russian Mathematical Surveys. 2011. 66. 5. 871-932
  • J.C. Eilbeck, S. Matustani, Y. Ônishi. Addition formulae for Abelian functions associated with specialized curves. Phil.Trans. Royal Society A. 2011. 369. 1245-1263
more...
MISC (16):
  • Explicit realization of Coble's hypersurfaces in terms of multivariate wp-functions. 2013
  • J. Chris Eilbeck, Matthew England, Yoshihiro Ônishi. Some New Addition Formulae for Weierstrass Elliptic Functions. 2012
  • 楕円Gauss 和とHurwitz数. 第5 回北陸数論研究集会「Kummer の代数的整数論に関する論文のいくつかの解説とその後の進展」(於:いしかわシティカレッジ, 2006 年12 月26 日~ 12 月27 日) 報告集. 2007. 125-146
  • Onishi Y. Frobenius-Stickelberger-Type Formulae for Purely $d$-gonal Curves with Unique Point at Infinity(Algebraic Number Theory and Related Topics). RIMS Kokyuroku. 2006. 1521. 126-138
  • Victor Z. Enolskii, Shigeki Matsutani, Yoshihiro Ônishi. The addition law attached to a stratification of a hyperelliptic Jacobian variety. 2005
more...
Professional career (1):
  • 博士(理学) (東京都立大学)
Work history (1):
  • 2013 - University of Yamanashi Graduate Faculty of Interdisciplinary Research Faculty of Education, Education (Childhood developmental education)
※ Researcher’s information displayed in J-GLOBAL is based on the information registered in researchmap. For details, see here.

Return to Previous Page