Updated on 2025/08/28

写真a

 
MURABAYASHI,Naoki
 
Organization
Faculty of Engineering Science Professor
Title
Professor
Contact information
メールアドレス
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Degree

  • 博士(理学) ( 1992 )

Research Interests

  • ;

Research Areas

  • Natural Science / Algebra

Education

  • Waseda University   Graduate School, Division of Science and Engineering

    - 1992

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  • Waseda University   Faculty of Science and Engineering

    - 1987

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    Country: Japan

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  • Waseda University   Graduate School, Division of Science and Engineering

    1992

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    Country: Japan

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Papers

  • On a continued fraction expansion of the special function e^xE-1(x) and an expression of the continued fraction convergents Reviewed

    N. Murabayashi, H. Yoshida

    Ramanujan Journal   66 ( 2 )   Paper No. 41   2025.2

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  • On supersingular primes of the Elkies' elliptic curve Reviewed

    Naoki Murabayashi

    Funct. Approx. Comment. Math.   60.1, 41-59   2019.3

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  • On torsion points of certain CM elliptic curves Reviewed

    Naoki Murabayashi

    Functiones et Approximatio, Commentarii Mathematici   47 ( 1 )   89 - 93   2012

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Adam Mickiewicz University Press  

    DOI: 10.7169/facm/2012.47.1.8

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  • Determination of simple CM abelian surfaces defined over Q Reviewed

    Naoki Murabayashi

    MATHEMATISCHE ANNALEN   342 ( 3 )   657 - 671   2008.11

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s00208-008-0251-2

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  • Modularity of CM elliptic curves over division fields Reviewed

    Naoki Murabayashi

    JOURNAL OF NUMBER THEORY   128 ( 4 )   895 - 897   2008.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jnt.2007.01.011

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  • On construction of certain CM elliptic curves Reviewed

    Naoki Murabayashi

    JOURNAL OF NUMBER THEORY   128 ( 3 )   576 - 588   2008.3

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jnt.2007.04.017

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  • On QM-abelian surfaces with model of GL(2)-type over Q Reviewed

    N Murabayashi

    JOURNAL OF NUMBER THEORY   112 ( 1 )   116 - 188   2005.5

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jnt.2004.07.018

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  • On the field of definition for modularity of CM elliptic curves Reviewed

    N Murabayashi

    JOURNAL OF NUMBER THEORY   108 ( 2 )   268 - 286   2004.10

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jnt.2004.05.004

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  • Determination of all Q-rational CM-points in moduli spaces of polarized abelian surfaces Reviewed

    N. Murabayashi and A. Umegaki

    ANALYTIC NUMBER THEORY   6   349 - 357   2002

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    Language:English   Publishing type:Research paper (international conference proceedings)  

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  • Determination of All Q-rational CM-Points in the Moduli Space of Principally Polarized Abelian Surfaces. Reviewed

    MURABAYASHI Naoki

    Journal of Algebra   235/, 267-274   267 - 274   2001

  • A remark on the modularity of Abelian varieties of GL(2)-type over Q Reviewed

    N Murabayashi

    JOURNAL OF NUMBER THEORY   82 ( 2 )   288 - 298   2000.6

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    Language:English   Publishing type:Research paper (scientific journal)  

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  • Modular equations of hyperelliptic X-0(N) and an application Reviewed

    T Hibino, N Murabayashi

    ACTA ARITHMETICA   82 ( 3 )   279 - 291   1997

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    Language:English   Publishing type:Research paper (scientific journal)  

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  • The field of moduli of Abelian surfaces with complex multiplication Reviewed

    N Murabayashi

    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK   470   1 - 26   1996

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    Language:English   Publishing type:Research paper (scientific journal)  

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  • SHIMURA CURVES AS INTERSECTIONS OF HUMBERT SURFACES AND DEFINING EQUATIONS OF QM-CURVES OF GENUS-2 Reviewed

    K HASHIMOTO, N MURABAYASHI

    TOHOKU MATHEMATICAL JOURNAL   47 ( 2 )   271 - 296   1995.6

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    Language:English   Publishing type:Research paper (scientific journal)  

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  • THE MODULI SPACE OF CURVES OF GENUS 2 COVERING ELLIPTIC-CURVES Reviewed

    N MURABAYASHI

    MANUSCRIPTA MATHEMATICA   84 ( 2 )   125 - 133   1994.8

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    Language:English   Publishing type:Research paper (scientific journal)  

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  • MORDELL-WEIL RANK OF THE JACOBIANS OF THE CURVES DEFINED BY Y(P)=F(X) Reviewed

    N MURABAYASHI

    ACTA ARITHMETICA   64 ( 4 )   297 - 302   1993

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    Language:English   Publishing type:Research paper (scientific journal)  

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  • ON NORMAL FORMS OF MODULAR-CURVES OF GENUS-2 Reviewed

    N MURABAYASHI

    OSAKA JOURNAL OF MATHEMATICS   29 ( 2 )   405 - 418   1992.6

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    Language:English   Publishing type:Research paper (scientific journal)  

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  • Cyclotomic function fields with divisor class number one Reviewed

    Masanari Kida, Naoki Murabayashi

    Tokyo Journal of Mathematics   14 ( 1 )   45 - 56   1991

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.3836/tjm/1270130486

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Books

  • Dirichlet's theorem on arithmetic progressions

    MURABAYASHI,Naoki( Role: Sole author)

    2011.11 

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Presentations

  • 特殊関数 e^x E_1(x) の連分数展開とその収束性および Euler-Gompertz 定数 \delta の無理性への応用

    村林直樹, 吉田颯飛

    2022 大分熊本整数論研究集会  2022.9 

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    Event date: 2022.9

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  • On supersingular primes of the Elkies' elliptic curve

    2016.10 

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    Event date: 2016.10

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  • On torsion points of CM elliptic curves

    村林 直樹

    Japan-Korea Number Theory Seminar 2011  2011.11 

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    Venue:Nagoya University, Higashiyama Campus, Noyori Conference Hall  

    2011 年11 月9日から12日に亘って名古屋大学で開催された Japan-Korea Number Theory Seminar 2011 に於いて研究成果を発表した。なお、この研究集会の報告集はない。

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  • ある楕円曲線の supersingular primes について

    村林 直樹

    「数論と社会に役立つ数学」研究集会  2010.8 

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    Venue:室蘭工業大学工学部 Q 棟(教育・研究2号館)4階Q402室  

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Research Projects

  • 虚数乗法論とKP方程式の関連について

    2003 - 2005

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    Grant type:Competitive

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  • QM型アーベル曲面のHasse-Weilゼータ関数について

    1996 - 1998

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    Grant type:Competitive

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  • 有理数体上定義されたCM型アーベル曲面の分類

    1995

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    Grant type:Competitive

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Devising educational methods

  • 教科書に沿って進め、教科書では証明を省略している箇所を丁寧に解説している。数学の専門書を自分で読んで身につけるための極意である「行間を埋めながら読み進む」を実践することで、学生に数学の専門書の読み方を身に付けさせるのが狙いである。また、板書は出来るだけ丁寧にすることにより、学生が復習をする際の手助けになるようにしている。

Teaching materials

  •  特になし

Teaching method presentations

  •  特になし

Special notes on other educational activities

  •  特になし