Fuminori Kawamoto

(河本史紀)

Profile Information

Affiliation: Assistant Professor, Faculty of Science, Department of Mathematics, Gakushuin University

Degree: Doctor of Science(Gakushuin University)

J-GLOBAL ID: 200901060889148994
researchmap Member ID: 1000361385

Research Interests

Research Areas

Natural sciences / Algebra /

Research History

2007

-:学習院大学理学部助教
2007

- Gakushuin University, Assistant Professor
1986 - 2006

:学習院大学理学部助手
1986 - 2006

Gakushuin University, Research Assistant
Assistant Professor (Gakushuin University), Gakushuin University Faculty of Science, Department of Mathematics

Education

Mar, 1983 - Apr, 1986

Graduate School of Natural Science, Gakushuin University
- 1986

Graduate School, Division of Science and Technology, Gakushuin University
Apr, 1981 - Mar, 1983

Graduate School of Natural Science, Gakushuin University
- 1983

Graduate School, Division of Science and Technology, Gakushuin University
Apr, 1977 - Mar, 1981

Department of Mathematics, Faculty of Science, Gakushuin University

Misc.

On some properties of partial quotients of the continued fraction expansion of $\sqrt{d}$ with even period

F. Kawamoto, Y. Kishi, K. Tomita

Arch. Math. (Basel), 114 649-660, 2020 Peer-reviewedLead author
Real quadratic fields, continued fractions, and a construction of primary symmetric parts of ELE type

F.Kawamoto, Y.Kishi, H. Suzuki, K.Tomita

Kyushu J. Math., 73(1) 165-187, 2019 Peer-reviewedLead author
Continued fraction expansions with even period and primary symmetric parts with extremely large end

F. Kawamoto, Y. Kishi, K. Tomita

Comm. Math. Univ. Sancti Pauli, 64(2) 131-155, 2015 Peer-reviewedLead author
Construction of positive integers with even period of minimal type

Fuminori Kawamoto, Yasuhiro Kishi, Koshi Tomita

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 90(2) 27-32, Feb, 2014

We give a construction of positive integers with even period of minimal type.
Construction of positive integers with even period of minimal type

Fuminori Kawamoto, Yasuhiro Kishi, Koshi Tomita

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 90(2) 27-32, Feb, 2014

We give a construction of positive integers with even period of minimal type.

Presentations

末尾急増型主要対称部分の構成法～pre-ELE型有限列の増殖変換～

日本数学会秋季総合分科会, 2013
偶数周期の連分数展開と末尾急増型主要対称部分

日本数学会秋季総合分科会, 2013
極小型実2次体と2つの有名予想

第5回福岡数論研究集会, 2010
連分数と実2次体に関するGaussの類数問題

早稲田大学整数論研究集会2010, 2010
連分数と類数1の実2次体について～ある数値実験の報告

日本数学会秋季総合分科会, 2010
Two famous conjectures and real quadratic fields of minimal type

2010
Continued fractions and Gauss' class number problem for real quadratic fields

2010
Continued fractions and real quadratic fields of class number 1

2010
Gauss予想(類数1問題)は難しい

早稲田大学整数論研究集会2008, 2008
連分数とある種の極小型実2次体

日本数学会年会, 2008
Gauss conjecture(class number 1 problem) is difficult

2008
Continued fractions and certain real quadratic fields of minimal type

2008
与えられた連分数展開をもつ2次無理数のFriesenによる構成法

早稲田大学整数論研究集会 2005 報告集, 2005
On Friesen's construction of quadratic irrationals with given continued fraction expansion

2005
正規整数基底と4を法とする狭義イデアル類群

日本数学会秋季分科会, 2002
Normal integral bases and strict ray class groups modulo 4

2002
総実代数体の不分岐アーベル拡大の normal integral basis

津田塾大学数学・計算機科学研究所, 2001
Normal integral bases of unramified extensions of totally real number fields

2001
総実代数体のある無限族について

仙台数論小セミナー2000および仙台数論小研究集会, 2000
虚2次体のHilbert類体上のnormal integral basis

日本数学会年会, 2000
On an infinite family of totally real number fields

2000
Normal integral bases over the Hilbert class fields of imaginary quadratic fields

2000
2次体のmod pのray class fieldの2次部分拡大について

数理解析研究所講究録 ``代数的整数論とその周辺'', 1999
On quadratic subextensions of ray class fields of quadratic fields mod p

1999
A remark on normal integral bases of ray class fields over quadratic fields

早稲田大学理工学総合研究センター学術支援領域 (数理科学), 研究集会報告集 VIII 整数論, 1997
A remark on normal integral bases of ray class fields over quadratic fields

1997
S-整数環のアーベル拡大のnormal basisについて

数理解析研究所講究録 ``群スキームの変形と整数論への応用'', 1996
S-整数環の分岐アーベル拡大のnormal basisの非存在について

数理解析研究所講究録 ``代数的整数論とフェルマーの問題'', 1996
On normal bases of abelian extensions of rings of S-integers

1996
On the non-existence of normal bases of abelian ramified extensions of rings of S-integers

1996
S-整数環の分岐アーベル拡大のnormal basisの非存在について

日本数学会秋季総合分科会, 1995
On the non-existence of normal bases of ramified abelian extensions of rings of S-integers

1995
S-整数環の不分岐アーベル拡大のnormal basisの非存在について

日本数学会年会, 1992
On the non-existence of normal bases of unramified abelian extensions of rings of S-integers

1992
conductor p のアーベル体のnormal integral basisについて

日本数学会年会, 1990
On normal integral bases of abelian fields of conductor p

1990
ある円分体の中のnormal integral basisについて

日本数学会年会, 1989
On normal integral bases in certain cyclotomic fields

1989
ideal basesについての注意

日本数学会年会, 1986
A note on ideal bases

1986
素数次Kummer拡大のnormal integral basesについて

日本数学会年会, 1984
On normal integral bases of Kummer extensions of prime degree

1984

Professional Memberships

Research Projects

Application of continued fractions to real quadratic fields

Grants-in-Aid for Scientific Research(基盤研究(C)), Ministry of Education, Culture, Sports, Science and Technology, 2010 - 2013

Fuminori KAWAMOTO, Koshi TOMITA, Yasuhiro KISHI, Hiroshi SUZUKI
Application of continued fractions to real quadratic fields

2004
Research of Iwasawa Theory fof Formal Groups

Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, 2000 - 2003

NAKAJIMA Shoichi, ICHIMURA Humio, NAITO Hirotada, NAKANO Shin, KAWAMOTO Fuminori
Arithmetic of Z_p-field and geometry of algebraic curves

Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, 1997 - 1998

NAKAJIMA Shoichi, KAWAMOTO Fuminori, NAKANO Shin, ICHIMURA Humio, NAITO Hirotada, KURODA Shigenobu
代数体の研究

科学研究費助成事業, 日本学術振興会, 1992 - 1992

河本史紀

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