ONISHI Yoshihiro 大西良博

… Alternative Names

大西良博オオニシヨシヒロ

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Researcher Number	60250643
Other IDs
External Links
Affiliation (Current)	2025: 名城大学, 理工学部, 教授
Affiliation (based on the past Project Information) *help	2023: 名城大学, 理工学部, 教授 2014 – 2018: 名城大学, 理工学部, 教授 2014: 名城大学, 理工学部数学科, 教授 2011 – 2013: 山梨大学, 教育学研究科(研究院), 教授 2012: 山梨大学, 教育学研究科, 教授 … More 2010: 山梨大学, 教育人間科学部, 教授 2007 – 2009: Iwate University, 人文社会科学部, 准教授 2006: 岩手大学, 人文社会学部, 助教授 1997 – 2006: 岩手大学, 人文社会科学部, 助教授 1994 – 1996: 岩手大学, 人文社会科学部, 講師 1993: 講師 Less
Review Section/Research Field	Principal Investigator Algebra / Algebra / Basic Section 12010:Basic analysis-related Except Principal Investigator 解析学 / Global analysis / Algebra / 社会システム工学 / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator Abelian function / 代数曲線 / Frobenius-Stickelberger / Jacobian varieties / Abelian functions / hyperelliptic curve / sigma function / algebraic curve / Jacobian variety / sigma 函数 … More / Abel 函数 / アーベル函数 / Abel函数 / division polynomial / Algebraic curve / Algebraic function / Hurwitz数 / Bernoulli数 / Kiepertの公式 / 代数的加法公式 / sigma functions / Jacobi 多様体 / 代数函数 / 数論幾何 / 数論 / 虚数乗法論 / Gauss-Manin connection / Abelian funciton / σ 函数 / Coble suface / Hurwitz integrality / Abel function / heat equation / heat equations / algebraic curves / Hecke L-series / elliptic Gauss sums / 普遍Bernoulli数 / Bernoulli-Hurwitz数 / Frobenius-Stickelbergerの公式 / Frobenins-Stickelberger / Tate-Shafarevich群 / 楕円Gauss和 / Bernoulli numbers / Kiepert formula / 行列式表示 / Complex multiplication / multiplication formula / アーベル(Abel)函数 / 等分多項式 / 超楕円曲線 / addition formula / elliptic function / Abelian variety / ヤコビ多様体 / 加法公式 / ベルヌーイ数 / 幾何学 / 代数学 / 楕円函数 / Hurwitz整 / Sigma函数 / Jacobi多様体 / テ-タ関数 / アーベル関数 / ガウスの和 … More Except Principal Investigator ノイマン環 / 完全正値写像 / 条件付き期待値 / 母関数 / 並列待ち行列 / spherical function / Clifford algebra / Eisenstein series / automorphic form / zeta function / prehomogeneous vector space / b-関数 / Koecher-Maassゼータ関数 / 二次形式 / Eisenstein級数 / 局所関数等式 / 局所密度 / 球関数 / クリフォード代数 / アイゼンシュタイン級数 / 保型形式 / ゼータ関数 / 概均質ベクトル空間 / competition system / nonlinear diffusion / singular limit / reaction-diffusion system / 競争系 / 非線形拡散 / 特異極限 / 反応拡散系 / Generating function / Computer algebra system / Reduce / Chop-sticks / Parallel queues / 数式処理 / REDUCE / 箸ならび / operator inequality / type of von Neumann algebra / completely positive map / selfdual cone / matrix ordered Hilbert space / 不等式 / 作用素不等式 / ノイマン環の型 / 自己共役錐体 / 行列順序ヒルベルト空間 / 相関関数 / 差分方程式 / 代数曲線 / 加法定理 / 可積分系 / 交際情報交流、イギリス / 国際研究者交流、ロシア / テレスコピック曲線 / 可換偏差分作用素 / KP階層 / 多変数シグマ関数 / (n,s)曲線 / 可換微分・差分作用素 / リーマン面 / タウ関数 / KP階層の佐藤理論 / 国際研究者交流（ロシア） / 国際研究者交流（ロシア、イギリス、カナダ） / モジュラー不変 / テータ関数の展開 / ギャップ列 / テータ関数 / 普遍グラスマン多様体 / 可積分階層のタウ関数 / シューア関数 / リーマンの特異点定理 / モジュラー不変性 / 高種数シグマ関数 / 非可換Lp空間 / 正値写像 / 正錐 / 自己準同型 / 相乗りタクシー Less

Characterization of multivariate sigma-functions in terms of a system of partial differential equations obtained by Gauss-Manin connectionPrincipal Investigator
- Principal Investigator
  
  大西良博
- Project Period (FY)
  2023 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Meijo University
Research on characterization of the fundamental function sigma in the theory of Abelian functions via heat equations and general addition formulaePrincipal Investigator
- Principal Investigator
  
  Yoshihiro Onishi
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meijo University
Construction of concrete theory of Abelian functions focusing the multivariate sigma functionsPrincipal Investigator
- Principal Investigator
  
  Onishi Yoshihiro
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meijo University
  University of Yamanashi
Difference equations related with higher genus algebraic curves
- Principal Investigator
  
  NAKAYASHIKI Atsushi
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tsuda College
Elaborate construction of a concrete theoryof Abelian functionsPrincipal Investigator
- Principal Investigator
  
  ŌNISHI Yoshihiro
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  University of Yamanashi
Research toward to construct a concrete theory of Abelian functionsPrincipal Investigator
- Principal Investigator
  
  ONISHI Yoshihiro
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Iwate University
Relation between automorphic forms and zeta functions associated with prehomogeneous vector spaces
- Principal Investigator
  
  SATO Fumihiro
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Rikkyo University
Research on determinantal formulae and Bernoulli-Hurwitz numbers in the theory of Abelian functionsPrincipal Investigator
- Principal Investigator
  
  ONISHI Yoshihiro
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Iwate University
The search for the structure which can appear in singular limits of reaction-diffusion systems
- Principal Investigator
  
  IIDA Masato
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Iwate University
Research on products formulae for special values of Abehan functionsPrincipal Investigator
- Principal Investigator
  
  ONISHI Yoshihiro
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Iwate University
Researches on the parallel queues in use the Computer algebra system REDUCE
- Principal Investigator
  
  ISHIKAWA Akihiko
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  社会システム工学
- Research Institution
  IWATE UNIVERSITY
Researches on the classification of von Neumann algebras by selfdual cones and operator inequalities
- Principal Investigator
  
  MIURA Yasuhide
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Iwate University
非可換Lp空間における完全正値写像の研究
- Principal Investigator
  
  三浦康秀
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Iwate University
ガウスの和の積表示とテ-タ関数の積公式Principal Investigator
- Principal Investigator
  
  大西良博
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Iwate University
ノイマン環の自己準同型とその応用について
- Principal Investigator
  
  三浦康秀
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Iwate University
相乗りタクシーの解析
- Principal Investigator
  
  ISHIKAWA Akihiko
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Iwate University

[Book] Abel 函数2013
- Author(s)
  大西良博
- Total Pages
  113
- Publisher
  中央大学理工学部
- Data Source
  KAKENHI-PROJECT-25400010
[Book] Abel 函数論
- Author(s)
  大西良博
- Total Pages
  139
- Publisher
  中央大学数学教室
- Data Source
  KAKENHI-PROJECT-22540006
[Journal Article] Recursion Relations on the Power Series Expansion of the Universal Weierstrass Sigma Function2019
- Author(s)
  John Chris Eilbeck and Yoshihiro Onishi
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: ?
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05082
[Journal Article] Arithmetical power series expansion of the sigma function for a plane curve.2018
- Author(s)
  Yoshihiro Onishi
- Journal Title
  
  Proc. of the Edinburgh Math. Soc.
  
  Volume: - Issue: 4 Pages: 995-1022
- DOI
  10.1017/s0013091517000463
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05082
[Journal Article] Arithmetical power series expansion of the sigma function of a plane curve2017
- Author(s)
  Yoshihiro Onishi
- Journal Title
  
  Proceedings of Edinburgh Mathematical Society
  
  Volume: ?
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05082
[Journal Article] Theory of heat equations for sigma functions.2017
- Author(s)
  J. C. Eilbeck, J. Gibbons, Y. \^Onishi, and S. Yasuda
- Journal Title
  
  arXiv.org
  
  Volume: -
- Data Source
  KAKENHI-PROJECT-16K05082
[Journal Article] Hurwitz integrality of power series expansion of the sigma function for a plane curve2015
- Author(s)
  Yoshihiro Onishi
- Journal Title
  
  arxiv.org (http://arxiv.org/abs/1510.03002)
  
  Volume: - Pages: 1-27
- Open Access
- Data Source
  KAKENHI-PROJECT-25400010
[Journal Article] Some new addition formulae for Weierstrass elliptic functions2014
- Author(s)
  J. C. Eilbeck, M. England, and Y. Onishi
- Journal Title
  
  Proceedings of Royal Society, A
  
  Volume: 470:2171 Issue: 2172 Pages: 20140514-20140514
- DOI
  10.1098/rspa.2014.0514
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400010
[Journal Article] Prime form and sigma function2013
- Author(s)
  John Gibbons, Shigeki Matsutani, Yoshihiro Onishi
- Journal Title
  
  Journal of Physics A (Mathematical and Theoretical)
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540006
[Journal Article] Relationship between the prime form and the sigma function for some cyclic (r,s) curves2013
- Author(s)
  J.Gibbons, S.Matsutani, and Y.Onishi
- Journal Title
  
  Journal of Physics A: Mathematical and Theoretical
  
  Volume: 46 Issue: 17 Pages: 175203-175203
- DOI
  10.1088/1751-8113/46/17/175203
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400010
[Journal Article] Explicit realization of Coble's hypersurfaces in terms of multivari-ate }-functions2013
- Author(s)
  大西良博
- Journal Title
  
  第17回早稲田大学整数論研究集会報告集
  
  Volume: 16
- Data Source
  KAKENHI-PROJECT-22540006
[Journal Article] Re-lationship between the prime form and thesigma function for some cyclic (r; s) curves,Journal of Physics A2013
- Author(s)
  J. Gibbons, S. Matsutani and Y. ^ Onishi
- Journal Title
  
  Mathematical and The-oretical
  
  Volume: 46 Pages: 17-17
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540006
[Journal Article] Some new addition formulae for Weierstrass elliptic functions2012
- Author(s)
  Matthew England, J. Chris Eilbeck and Yoshihiro Onishi
- Journal Title
  
  http://arxiv.org/abs/1207.6274
  
  Volume: --- Pages: 1-16
- Data Source
  KAKENHI-PROJECT-22540006
[Journal Article] Some new addition formulae for Weierstrasselliptic functions2012
- Author(s)
  M. England, J.C. Eilbeck and Y. ^ Onishi
- Data Source
  KAKENHI-PROJECT-22540006
[Journal Article] Some new addition formulae for Weierstrass elliptic functions.2012
- Author(s)
  J. C. Eilbeck, M. England, Y. Onishi
- Journal Title
  
  http://arxiv.org/abs/1207.6274
  
  Volume: --- Pages: 1-16
- Data Source
  KAKENHI-PROJECT-22540006
[Journal Article] Determinant formulae in Abelian functions for a general trigonal curve of degree five2011
- Author(s)
  Y.Onishi
- Journal Title
  
  Computational Methods and Function Theory
  
  Volume: 掲載確定(未定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540006
[Journal Article] Determinant formulae in Abelianfunctions for a general trigonal curve of de-gree five2011
- Author(s)
  Y. ^ Onishi
- Journal Title
  
  Computational Methods and Function The-ory
  
  Volume: 11:2 Pages: 547-574
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540006
[Journal Article] Addition formula for Abelian functions associated with specialized curves.2011
- Author(s)
  J.C.Eilbeck, S.Matustani, Y.Onishi
- Journal Title
  
  PhiL.Trans.Royal Society A
  
  Volume: 369 Pages: 1245-1263
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540006
[Journal Article] Generalized Bernoulli-Hurwitznumbers and the universal Bernoulli num-bers2011
- Author(s)
  Y. ^ Onishi
- Journal Title
  
  Russian Mathematical Surveys
  
  Volume: 66:5 Pages: 871-932
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540006
[Journal Article] Abelian Functions associated with genusthree algebraic curves2011
- Author(s)
  M. England, J.C. Eilbeck and Y. ^ Onishi
- Journal Title
  
  London Math. Soc. Jour. of Computationand Math.
  
  Volume: 14 Pages: 291-326
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540006
[Journal Article] Addition formulae for Abelian functions as-sociated with specialized curves. Phil2011
- Author(s)
  J.C. Eilbeck, S. Matsutani and Y. ^ Onishi
- Journal Title
  
  Phil.Trans.Royal Society A
  
  Volume: 369 Pages: 1245-1263
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540006
[Journal Article] Universal elliptic functions2010
- Author(s)
  Yoshihiro Onishi
- Journal Title
  
  arXiv.org http://arxiv.org/abs/1003.2927
- Data Source
  KAKENHI-PROJECT-19540002
[Journal Article] Congruences relations connectiong Tate-Shafarevich groups with Hurwitz numbers.2010
- Author(s)
  Yoshihiro Onishi
- Journal Title
  
  Interdisciplinary of Information Sciences (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540002
[Journal Article] Congruences relations connectiong tate-shafarevich groups with hurwitz numbers2010
- Author(s)
  Y. Onishi
- Journal Title
  
  Interdisciplinary of Information Sciences 16(1)
  
  Pages: 71-86
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540002
[Journal Article] Abelian functions, for trigond curves of genus three (in press)2009
- Author(s)
  J. C. Eilbecle, V. Z. Enotski S. Matsutani, Y. Onishi, E. Previato
- Journal Title
  
  International Math. Research Notices (未定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540002
[Journal Article] Abelion Functions for trigonal curves of degree four and daterminatal formulae in Pure trigonal cose.2009
- Author(s)
  Yoshihitro Onishi
- Journal Title
  
  International Journal of Mathematrcs 20
  
  Pages: 427-441
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540002
[Journal Article] Abelian functions for trigonal curves of dgree four and determinantal formulae in purely trigonal case2009
- Author(s)
  Y. Onishi
- Journal Title
  
  International Journal of Mathematics 20(4)
  
  Pages: 427-441
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540002
[Journal Article] Addition formulae over the jacobian preimage of hyperelliptic wirtinger varieties2008
- Author(s)
  J.C. Eilbeck, V.Z. Enol'skii, S. Matustani,Y. Onishi, E. Previato
- Journal Title
  
  Journal fur reine und angewandt Mathematik 619
  
  Pages: 37-48
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540002
[Journal Article] Abelian functions for trigonal curves of degree four and determinantal formula in purely trigonal case2008
- Author(s)
  Y. Onishi
- Journal Title
  
  International Journal of Math. (印刷中)(掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540002
[Journal Article] The addition law attached to a stratification for a hyperelliptic jacobian variety2008
- Author(s)
  V.Z. Enolskii, S. Matsutani, Y. Onishi
- Journal Title
  
  Tokyo Journal of mathematics 31
  
  Pages: 27-38
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540002
[Journal Article] Abelian functions for cyclic trigonal curves of genus 42008
- Author(s)
  S. Baldwin, J. C. Eilbeck, J. Gibbons, Y.Onishi
- Journal Title
  
  Journal of Geometry and Physics 58(4)
  
  Pages: 450-467
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540002
[Journal Article] Addition formula over the Jacobian pre-image of hyperelliptic Wirtinger varieties2008
- Author(s)
  J. C. Eilbeck, V. Z. Enolski, S. Matsutani Y. Onishi, E. Previato
- Journal Title
  
  J. reine angewandt Math. (印刷中)(掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540002
[Journal Article] The addition law attached to a stratification for a hyperelliptic Jacobian variety2008
- Author(s)
  V. Z. Enolski, S. Matsutani, Y. Onishi
- Journal Title
  
  Tokyo Journal of Math. (印刷中)(掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540002
[Journal Article] Addition formulae over the Jacobian preimage of hypereliptic Wirtinger varieties2008
- Author(s)
  J. C. Eibeck, V. Z. Enolski S. Matsutani, Y. Onishi, E. previato
- Journal Title
  
  J. reine und angewadt Mathematik 619
  
  Pages: 37-48
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540002
[Journal Article] Abelian functions for cyclic trigonal curves of genus 42008
- Author(s)
  S. Baldwin, J. C. Eilbeck J. Gibbons, Y. Onishi
- Journal Title
  
  Journal of Geometry and Physics 58
  
  Pages: 450-467
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540002
[Journal Article] Abelian functions for trigonal curves of genus three2008
- Author(s)
  J. C. Eilbeck, V. Z. Enolski, S. Matsutani Y. Onishi, E. Previato
- Journal Title
  
  International Math. Research Notices (印刷中)(掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540002
[Journal Article] The addition law attached to a. stratification for a hyperelliptic Jacobian2008
- Author(s)
  V. Z. EnoLski, S. Matsutani Y. Onishi
- Journal Title
  
  Tokyo Jouend of Mathematics 31
  
  Pages: 27-38
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540002
[Journal Article] 構円Gauss和とHurwity数を結ぶ合同式及びTate Shafarevich群2007
- Author(s)
  大西良博
- Journal Title
  
  2006年北陸数論小研究集会報告集
  
  Pages: 21-21
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] Congruence of elliptic Gauss sums with Hurwitge numbers and Tate-Shafarevich groups2007
- Author(s)
  Yoshihiro Onishi
- Journal Title
  
  http://arxiv.org/abs/math/NT/
  
  Pages: 1-21
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] 楕円Gauss和とHurwitz数を結ぶ合同式及びTate-Shafarevich群2007
- Author(s)
  大西良博
- Journal Title
  
  2006年北陸数論小研究集会報告集
  
  Pages: 1-21
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] Abelian functions for trigonal curves of genus three2007
- Author(s)
  J.C. Eilbeck, V.Z. Enol'skii, S. Matustani,Y. Onishi, E. Previato
- Journal Title
  
  International Mathematics Research Notices
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540002
[Journal Article] Determinant Expressions for purely pentagonal curves of degree six2007
- Author(s)
  Yoshihiro Onishi
- Journal Title
  
  http://arxiv.org/org/abs/math.NT/
  
  Pages: 1-75
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] Determinant expressions in abelian functions for purely pentagonal curves of degree six2007
- Author(s)
  S. Matsutani, Y. Onishi
- Data Source
  KAKENHI-PROJECT-19540002
[Journal Article] Theory of generaliyed Bernoulli-Hurwity numbers and the universal Bernoulli numbers2006
- Author(s)
  Yoshihiro Onishi
- Journal Title
  
  http://arxiv. Org/abs/math. NT/0406096
  
  Pages: 91-91
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] Explicit addition formulae for purely trigonal curves of degree four2006
- Author(s)
  J.C.Eilbeck, V.Z.Enolskii, S.Matsutani, Y.Onishi, E.Peviato
- Journal Title
  
  http://arxiv.org/abs/math.AG/
  
  Pages: 1-14
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] Determinant Expression for purely pentagonal curves of degree six2006
- Author(s)
  Yoshihiro Onishi
- Journal Title
  
  http://arxiv.org/abs/math.NT/
  
  Pages: 1-75
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] Abelian functions for cyclic trigonal curves of genus four2006
- Author(s)
  S.Baldwin, J.C.Eilbeck, J.Gibbons, Y.Onishi
- Journal Title
  
  http://arxiv.org/abs/math/0612654
  
  Pages: 1-23
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] Abelian functions for purely frignal curres of genus three2006
- Author(s)
  J.C.Eilbeck, V.Z.Enoyskii, S.Matsutani, Y.Onishi, E.Previato
- Journal Title
  
  hppt : //arxiv.org/abs/math/AG/0610019
  
  Pages: 1-26
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties2006
- Author(s)
  J.C.Eilbeck, V.Z.Enoyskii, S.Matsutani, Y.Onishi, E.Previato
- Journal Title
  
  http://web.cc.iwate-u.ac.jp//reseach/pub/
  
  Pages: 1-11
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] Determinant Expressions for hyperelliptic functions2005
- Author(s)
  Yoshihiro Onishi
- Journal Title
  
  Proc. Edinburgh Math.Soc. 48
  
  Pages: 705-742
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] Inequalities for matrices preserving a self-dual cone M_2(R)^+2005
- Author(s)
  Y.Ishikawa, Y.Miura, Y.Onishi
- Journal Title
  
  Far East J.Math.Sci. 16巻
  
  Pages: 63-72
- Data Source
  KAKENHI-PROJECT-15540194
[Journal Article] 円分型台数函数版Bernoulli-Hurwitz数と普遍Bernoulli数の理論2005
- Author(s)
  大西良博
- Journal Title
  
  2004数論セミナー静岡報告集
  
  Pages: 1-91
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] Determinant expressions for hyperelliptic functions (with an Appendix by Shigeki Matsutani : Connection of The formula of Cantor and of Brioschi-Kiepert type)2005
- Author(s)
  Y.Onishi
- Journal Title
  
  Proc.Edinburgh Math.Soc. 48
  
  Pages: 705-742
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] Determinant expressions for hyperelliptic functions (with an Appendix by S. Matsutani)2005
- Author(s)
  Yoshihiro Onishi
- Journal Title
  
  Proc. of Edinburgh Math. Soc 48
  
  Pages: 705-742
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] Determinant Expressions for purely trigonal curves of degree four2005
- Author(s)
  Yoshihiro Onishi
- Journal Title
  
  http://arxiv.org/abs/math.NT/0503696
  
  Pages: 1-14
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] The addition law attached to a stratification for a hyperelliptic Jacobian variety2005
- Author(s)
  V.Z.Enolskii, S.Matsutani, Y.Onishi
- Journal Title
  
  http://arxiv.org/abs/math.AG/0508366
  
  Pages: 1-13
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] Determinantal Expressions in hyperelliptic functions in genus three2004
- Author(s)
  Yoshihiro Onishi
- Journal Title
  
  Tokyo Journal of Mathematics 27・2
  
  Pages: 299-312
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] Determinantal expressions for hyperelliptic functions in genus three2004
- Author(s)
  Y.Onishi
- Journal Title
  
  Tokyo J.Math. 27
  
  Pages: 299-312
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] Determinant expressions for hyperelliptic functions in genus three2004
- Author(s)
  Yoshihiro Onishi
- Journal Title
  
  Tokyo Journal of Mathematics 27
  
  Pages: 299-312
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] 普遍Bernoulli数と円分型代数函数版Bernoulli-Hurwitz数2004
- Author(s)
  大西良博
- Journal Title
  
  京都大学数理解析研究所講究録 1376号
  
  Pages: 50-60
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540194
[Journal Article] Theory of generalized Bernoulli-Hurwitz numbers for algebraic functions of cyclotomic type and universal Bernoulli numbers
- Author(s)
  Y.Onishi
- Journal Title
  
  http://arxiv.org/abs/math.NT/0406096
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] Determinantal Expressions in hyperelliptic functions(with an Appendix by S.Matsutani)
- Author(s)
  Yoshihiro Onishi
- Journal Title
  
  Proceedings of Edinburgh Math.Soc. 未定
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] The addition law attached to a stratification for a hyperelliptic Jacobian variety.
- Author(s)
  V.Z.Enolskii, S.Matsutani, Y.Onishi
- Journal Title
  
  Tokyo J.Math. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] Determinant expressions in Abelian functions for purely pentagonal curves of degree six.
- Author(s)
  Y.Onishi
- Journal Title
  
  http://web.cc.hss.iwate-u.ac.jp/~onishi/publications.html
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] The addition law attached to a stratification for hyperelliptic Jacobian variety
- Author(s)
  V.Z.Enolskii, S.Matsutani, Y.Onishi
- Journal Title
  
  Tokyo Journal of Math (未定)(掲載受理)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] Theory of generalized Bernoulli-Hurwitz numbers in the algebraic functions of cyclotomic type,
- Author(s)
  Y.Onishi
- Journal Title
  
  http://arxiv.org/abs/math.NT/0304377
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties
- Author(s)
  J.C.Eilbeck, V.Z.Enolskii, S.Matsutani, Y.Onishi, E.Previato
- Journal Title
  
  J. fur reine und angew. Math. (未定)(掲載受理)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties.
- Author(s)
  J.C.Eilbeck, V.Z.Enol'skii, S.Matustani, Y.Onishi, E.Previato
- Journal Title
  
  J.fur reine und angew.Math. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540002
[Journal Article] Determinantal expression for hyperelliptic functions in genus three
- Author(s)
  Y.Onishi
- Journal Title
  
  Tokyo J. Math. (印刷中)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540194
[Journal Article] Determinantal expression for hyperelliptic functions in genus three
- Author(s)
  Y.Onishi
- Journal Title
  
  Tokyo J.Math. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540194
[Presentation] Vanishing elliptic Gauss sums and Bernoulli-Hurwitz type numbers2019
- Author(s)
  Yoshihiro Onishi
- Organizer
  The 40th Aichi Number theory Seminar
- Invited
- Data Source
  KAKENHI-PROJECT-16K05082
[Presentation] A recursion system on the expansion coefficients of the sigma function for a higher genus curve.2019
- Author(s)
  Yoshihiro Onishi
- Organizer
  The 23rd Conference on Number theory at Waseda University
- Invited
- Data Source
  KAKENHI-PROJECT-16K05082
[Presentation] Weierstrass の sigma 函数に関する熱方程式論の高い種数の場合への拡張について2018
- Author(s)
  Yoshihiro Onishi
- Organizer
  RIMS 研究集会 2018 「可積分系理論から見える数理構造とその応用」
- Invited
- Data Source
  KAKENHI-PROJECT-16K05082
[Presentation] New addition formulae for Weierstrass elliptic functions and for higher genus Abelian functions2015
- Author(s)
  Onishi Yoshihiro
- Organizer
  Curves, Moduli and Integrable Systems
- Place of Presentation
  津田塾大学 (東京都小平市)
- Year and Date
  2015-02-17
- Invited
- Data Source
  KAKENHI-PROJECT-25400010
[Presentation] 多変数 sigma 函数の原点における羃級数展開の Hurwitz 整性2014
- Author(s)
  大西良博
- Organizer
  第 15 回愛知数論セミナー
- Place of Presentation
  愛知工業大学 (名古屋市)
- Year and Date
  2014-06-14
- Invited
- Data Source
  KAKENHI-PROJECT-25400010
[Presentation] Bernoulli 数の種々の一般化に対する Kummer 合同式の法を与へる素数羃の評価2014
- Author(s)
  大西良博
- Organizer
  三浦康秀先生ご退職記念研究集会 “Dynamics and Special Functions"
- Place of Presentation
  岩手大学 (岩手県盛岡市)
- Data Source
  KAKENHI-PROJECT-25400010
[Presentation] Explicit realization of Coble's hypersurfaces in terms of multivariate P-functions2013
- Author(s)
  Yoshihiro Onishi
- Organizer
  2013早稲田整数論研究集会
- Place of Presentation
  早稲田大学西早稲田キャンパス
- Invited
- Data Source
  KAKENHI-PROJECT-22540006
[Presentation] Explicit realization of Coble'sHypersurfaces in Terms of Multivariate }-Functions2013
- Author(s)
  大西良博
- Organizer
  第17回整数論研究集会
- Place of Presentation
  早稲田大学
- Year and Date
  2013-03-17
- Data Source
  KAKENHI-PROJECT-22540006
[Presentation] 高い種数の代数関数体に対する一般化されたBernoulli-Hurwitz 数と, 関連する諸問題2011
- Author(s)
  大西良博
- Organizer
  保型形式の整数論月例セミナー
- Place of Presentation
  東京大学数理科学研究科
- Year and Date
  2011-11-19
- Data Source
  KAKENHI-PROJECT-22540006
[Presentation] Frobenius-Stickelberger-type for-mulae for general curves2010
- Author(s)
  Y. ^ Onishi
- Organizer
  Work shop on "The higher-genus sigma func-tion and applications"
- URL
  http://icms.org.uk/workshops/sigma
- Place of Presentation
  ICMS at Edinburgh, U.K
- Year and Date
  2010-10-11
- Data Source
  KAKENHI-PROJECT-22540006
[Presentation] Hurwitz integrality of power se-ries expansion of the sigma function in genustwo2010
- Author(s)
  大西良博
- Organizer
  早稲田整数論セミナー
- Place of Presentation
  早稲田大学
- Year and Date
  2010-07-02
- Data Source
  KAKENHI-PROJECT-22540006
[Presentation] Frobenius-Stickelberger-type formulae for general curves2010
- Author(s)
  Y.Onishi
- Organizer
  The higher-genus sigma function and applications
- Place of Presentation
  International Center of Math.Science(連合王国) 招待講演
- Year and Date
  2010-10-11
- Data Source
  KAKENHI-PROJECT-22540006
[Presentation] Two topics concrete theory of Abelion functions2008
- Author(s)
  大西良博
- Organizer
  ワークショップ「テータ函数と可積分系」
- Place of Presentation
  九州大学, 六本松キャンパス
- Year and Date
  2008-12-20
- Data Source
  KAKENHI-PROJECT-19540002
[Presentation] Congruence connecting Tate-Shafarevich groups with Hurwitg numbers2007
- Author(s)
  大西良博
- Organizer
  中村憲教授還歴記念研究集会
- Place of Presentation
  首都大学東京
- Year and Date
  2007-12-08
- Data Source
  KAKENHI-PROJECT-19540002
[Presentation] New addition formulae for Weierstrass elliptic functions and for higher genus Abelian functions
- Author(s)
  Onishi Yoshihiro
- Organizer
  Japan-Korea Joint Seminar on Number Theory and Related Topics 2014
- Place of Presentation
  慶応義塾大学矢上キャンパス
- Year and Date
  2014-11-19 – 2014-11-22
- Invited
- Data Source
  KAKENHI-PROJECT-25400010

1. ODAI Yoshitaka (10204215)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
2. MIURA Yasuhide (20091647)

# of Collaborated Projects: 6 results

# of Collaborated Products: 1 results
3. ISHIKAWA Akihiko (00084377)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
4. ISHIKAWA Yoichiro (80004000)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
5. IIDA Masato (00242264)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. 島野岳 (60004454)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. 石川精一 (50003984)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. NAKAYASHIKI Atsushi (10237456)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. CHO Koji (10197634)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. KONNO Hitoshi (00291477)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. SATO Fumihiro (20120884)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. HIGA Tatsuo (00150748)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. KAKEI Saburo (60318798)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. IBUKIYAMA Tomoyoshi (60011722)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. HIRONAKA Yumiko (10153652)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. KIMURA Tatsuo (30022726)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 山田裕二 (40287917)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

ONISHI Yoshihiro 大西 良博

大西 良博 オオニシ ヨシヒロ

Research Projects

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Characterization of multivariate sigma-functions in terms of a system of partial differential equations obtained by Gauss-Manin connectionPrincipal Investigator

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Research on characterization of the fundamental function sigma in the theory of Abelian functions via heat equations and general addition formulaePrincipal Investigator

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Construction of concrete theory of Abelian functions focusing the multivariate sigma functionsPrincipal Investigator

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Elaborate construction of a concrete theoryof Abelian functionsPrincipal Investigator

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Research toward to construct a concrete theory of Abelian functionsPrincipal Investigator

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Research on determinantal formulae and Bernoulli-Hurwitz numbers in the theory of Abelian functionsPrincipal Investigator

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Research on products formulae for special values of Abehan functionsPrincipal Investigator

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ガウスの和の積表示とテ-タ関数の積公式Principal Investigator

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ONISHI Yoshihiro 大西良博

大西良博オオニシヨシヒロ