Fuminori Kawamoto

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
- 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
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
Continued Fractions and Gauss' Class Number Problem for Real Quadratic Fields

Fuminori Kawamoto, Koshi Tomita

TOKYO JOURNAL OF MATHEMATICS, 35(1) 213-239, Jun, 2012
CONTINUED FRACTIONS WITH EVEN PERIOD AND AN INFINITE FAMILY OF REAL QUADRATIC FIELDS OF MINIMAL TYPE

Fuminori Kawamoto, Koshi Tomita

OSAKA JOURNAL OF MATHEMATICS, 46(4) 949-993, Dec, 2009
CONTINUED FRACTIONS WITH EVEN PERIOD AND AN INFINITE FAMILY OF REAL QUADRATIC FIELDS OF MINIMAL TYPE

Fuminori Kawamoto, Koshi Tomita

OSAKA JOURNAL OF MATHEMATICS, 46(4) 949-993, Dec, 2009
Continued fractions and certain real quadratic fields of minimal type

Fuminori Kawamoto, Koshi Tomita

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 60(3) 865-903, Jul, 2008
Normal integral basis and ray class group modulo 4

H Ichimura, F Kawamoto

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 79(9) 139-141, Nov, 2003
Normal integral bases and strict ray class groups modulo 4

F Kawamoto

JOURNAL OF NUMBER THEORY, 101(1) 131-137, Jul, 2003
An infinite family of totally real number fields

H Ichimura, F Kawamoto

ACTA ARITHMETICA, 106(2) 171-181, 2003
Normal integral bases of infinity-Ramified abelian extensions of totally real number fields

F Kawamoto, Y Odai

ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 72 217-233, 2002
On quadratic subextensions of ray class fields of quadratic fields mod p

F Kawamoto

JOURNAL OF NUMBER THEORY, 86(1) 1-38, Jan, 2001
2次体のmod $\mathfrak{p}$のray class fieldの2次部分拡大について (代数的整数論とその周辺)

河本史紀

数理解析研究所講究録, 1097 69-81, Apr, 1999
S-整数環の分岐アーベル拡大の normal basis の非存在について(代数的整数論とフェルマーの問題)

河本史紀

数理解析研究所講究録, 971 24-29, Oct, 1996
$S$-整数環のアーベル拡大のnormal basisについて(群スキームの変形と整数論への応用)

河本史紀

数理解析研究所講究録, 942 98-111, Apr, 1996
On normal bases of some ring extensions in number fields I

Fuminori Kawamoto

Tokyo Journal of Mathematics, 19(1) 129-146, 1996
NORMAL BASES AND Z(P)-EXTENSIONS

F KAWAMOTO, K KOMATSU

JOURNAL OF ALGEBRA, 163(2) 335-347, Jan, 1994
A note on ideal bases

Fuminori Kawamoto

Tokyo Journal of Mathematics, 11(2) 303-309, 1988

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

Professional Memberships

Research Projects

Application of continued fractions to real quadratic fields

Grants-in-Aid for Scientific Research(基盤研究(C)), 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, Grant-in-Aid for Scientific Research (C), 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, Grant-in-Aid for Scientific Research (C), 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, 奨励研究(A), 日本学術振興会, 1992 - 1992

河本史紀
代数体の研究

科学研究費助成事業, 奨励研究(A), 日本学術振興会, 1990 - 1990

河本史紀
代数体の研究

科学研究費助成事業, 奨励研究(A), 日本学術振興会, 1988 - 1988

河本史紀
Study on normal integral bases of Galois extensions of number fields

1983

Profile Information

Research Interests

Research Areas

Research History

Education

Misc.

Presentations

Professional Memberships

Research Projects

Menu

Coauthors