Organization
Faculty of Engineering Science Professor
Title
Professor
Contact information
External link
MURABAYASHI,Naoki
Degree
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博士（理学） ( 1992 )
Research Interests
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;
Research Areas
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Natural Science / Algebra
Education
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Waseda University Graduate School, Division of Science and Engineering
- 1992
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Waseda University Faculty of Science and Engineering
- 1987
Country： Japan
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Waseda University Graduate School, Division of Science and Engineering
1992
Country： Japan
Papers
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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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Determination of simple CM abelian surfaces defined over Q Reviewed
Naoki Murabayashi
MATHEMATISCHE ANNALEN 342 ( 3 ) 657 - 671 2008.11
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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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On construction of certain CM elliptic curves Reviewed
Naoki Murabayashi
JOURNAL OF NUMBER THEORY 128 ( 3 ) 576 - 588 2008.3
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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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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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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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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
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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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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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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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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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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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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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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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Cyclotomic function fields with divisor class number one Reviewed
Masanari Kida, Naoki Murabayashi
Tokyo Journal of Mathematics 14 ( 1 ) 45 - 56 1991
Books
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Dirichlet's theorem on arithmetic progressions
MURABAYASHI,Naoki（ Role： Sole author）
2011.11
Presentations
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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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On supersingular primes of the Elkies' elliptic curve
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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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
Research Projects
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虚数乗法論とKP方程式の関連について
2003 - 2005
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
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
Grant type：Competitive
Devising educational methods
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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
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特になし
Teaching method presentations
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特になし
Special notes on other educational activities
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特になし