Rchr
J-GLOBAL ID:201401093025578046
Update date: Oct. 19, 2024 Onishi Yoshihiro
オオニシ ヨシヒロ | Onishi Yoshihiro
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
- 2004 - 2007 Relation between automorphic forms and zeta functions associated with prehomogeneous vector spaces
- 2004 - 2006 Research on determinantal formulae and Bernoulli-Hurwitz numbers in the theory of Abelian functions
- 2003 - 2005 The search for the structure which can appear in singular limits of reaction-diffusion systems
- 2000 - 2002 Research on products formulae for special values of Abehan functions
- 1998 - 1999 Researches on the parallel queues in use the Computer algebra system REDUCE
- 1997 - 1998 Researches on the classification of von Neumann algebras by selfdual cones and operator inequalities
- 1996 - 1996 非可換Lp空間における完全正値写像の研究
- 1995 - 1995 ガウスの和の積表示とテ-タ関数の積公式
- 1994 - 1994 ノイマン環の自己準同型とその応用について
- 1993 - 1993 相乗りタクシーの解析
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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
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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
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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
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Yoshihiro Ônishi. Generalized Bernoulli-Hurwitz numbers and the universal Bernoulli numbers. Russian Mathematical Surveys. 2011. 66. 5. 871-932
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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
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J. Chris Eilbeck, Matthew England, Yoshihiro Ônishi. Some New Addition Formulae for Weierstrass Elliptic Functions. 2012
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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
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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
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Victor Z. Enolskii, Shigeki Matsutani, Yoshihiro Ônishi. The addition law attached to a stratification of a hyperelliptic Jacobian variety. 2005
more... Professional career (1): Work history (1): - 2013 - University of Yamanashi Graduate Faculty of Interdisciplinary Research Faculty of Education, Education (Childhood developmental education)
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