Shin Nakano

(中野伸)

Profile Information

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

Degree: Doctor of Science(Gakushuin University)
Doctor of Science(Gakushuin University)

J-GLOBAL ID: 200901017184942630
researchmap Member ID: 1000210681

External link: http://www.math.gakushuin.ac.jp/~shin/

Research Interests

Research Areas

Natural sciences / Algebra /

Research History

Apr, 2007 - Present

Faculty of Science, Gakushuin University
Apr, 2007 - Present

Professor, Faculty of Science, Gakushuin University
Apr, 1995 - Mar, 2007

Associate Professor, Faculty of Science, Gakushuin University
Apr, 1995 - Mar, 2007

Faculty of Science, Gakushuin University
Apr, 1993 - Mar, 1995

Lecturer, Faculty of Science, Nagoya University

Committee Memberships

2012

地方区代議員, 日本数学会

Papers

An Application of the Arithmetic of Elliptic Curves to the Class Number Problem for Quadratic Fields

Yoshichika IIZUKA, Yutaka KONOMI, Shin NAKANO

Tokyo Journal of Mathematics, 44(1) 33-47, Jun, 2021 Peer-reviewed
On the class number divisibility of pairs of quadratic fields obtained from points on elliptic curves

Yoshichika Iizuka, Yutaka Konomi, Shin Nakano

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 68(2) 899-915, Apr, 2016 Peer-reviewed
A family of quintic cyclic fields with even class number parameterized by rational points on an elliptic curve

Shin Nakano

JOURNAL OF NUMBER THEORY, 129(12) 2943-2951, Dec, 2009 Peer-reviewed
A Note on the Construction of Metacyclic Extensions

Nakano Shin, Sase Masahiko

Tokyo Journal of Mathematics, 25(1) 197-203, 2002 Peer-reviewed
On the Galois module structure of ideal class groups

T Komatsu, S Nakano

NAGOYA MATHEMATICAL JOURNAL, 164 133-146, Dec, 2001 Peer-reviewed
On generic cyclic polynomials of odd prime degree

S Nakano

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 76(10) 159-162, Dec, 2000 Peer-reviewed
THE 2-CLASS GROUPS OF CUBIC FIELDS AND 2-DESCENTS ON ELLIPTIC-CURVES

M KAWACHI, S NAKANO

TOHOKU MATHEMATICAL JOURNAL, 44(4) 557-565, Dec, 1992 Peer-reviewed
CONSTRUCTION OF PURE CUBIC FIELDS WITH LARGE 2-CLASS GROUPS

S NAKANO

OSAKA JOURNAL OF MATHEMATICS, 25(1) 161-170, Mar, 1988 Peer-reviewed
ON THE CONSTRUCTION OF PURE NUMBER-FIELDS OF ODD DEGREES WITH LARGE 2-CLASS GROUPS

S NAKANO

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 62(2) 61-64, Feb, 1986 Peer-reviewed
IDEAL CLASS-GROUPS OF CUBIC CYCLIC FIELDS

S NAKANO

ACTA ARITHMETICA, 46(3) 297-300, 1986 Peer-reviewed
ON IDEAL CLASS-GROUPS OF ALGEBRAIC NUMBER-FIELDS

S NAKANO

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 358 61-75, 1985 Peer-reviewed
ON IDEAL CLASS-GROUPS OF ALGEBRAIC NUMBER-FIELDS

S NAKANO

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 60(2) 74-77, 1984 Peer-reviewed
ON THE 2-RANK OF THE IDEAL CLASS-GROUPS OF PURE NUMBER-FIELDS

S NAKANO

ARCHIV DER MATHEMATIK, 42(1) 53-57, 1984 Peer-reviewed
On the construction of certain number fields

Shin Nakano

Tokyo Journal of Mathematics, 6(2) 389-395, 1983 Peer-reviewed
CLASS-NUMBERS OF PURE CUBIC FIELDS

S NAKANO

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 59(6) 263-265, 1983 Peer-reviewed

Misc.

<研究報告>代数体および楕円曲線の不変量の計算と解析

中野伸, 許斐豊

学習院大学計算機センター年報, 42 23-27, Jul, 2021
整数から抽象代数学へ (特集親しもう大学数学 : 高校数学のその先へ)

中野伸

数学セミナー, 55(4) 30-33, Apr, 2016
<研究報告>ガウス整数環の素元の分布

中島匠一, 中野伸

学習院大学計算機センター年報, 34 23-28, Jul, 2013
有理等分点を持つ楕円曲線から得られる２次体のペアの類数について

中野伸, 飯塚義睦, 許斐豊

第１０回北陸数論研究集会報告集, 75-84, 2011
類数の可除性に関する定量的な結果

中野伸

第８回北陸数論研究集会報告集, 31-41, 2009

Books and Other Publications

ガロア理論～その標準的な入門～

サイエンス社, 2003

Presentations

類数が偶数の５次巡回体の生成

日本数学会秋季総合分科会, 2006
イデアル類群の階数についての注意

日本数学会年会, 1999
A note on the rank of ideal class groups

XXI Journées Arithmétiques, 1999
A note on the rank of ideal class groups

XXI Journées Arithmétiques, 1999

Professional Memberships

Research Projects

The educational significance of undergraduate education in Humanities-Consideration of social relevance from the perspective of quality assurance-

Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Apr, 2018 - Mar, 2024

SHINODA Masato
Arithmetic of Cubic Fields and Elliptic Curves associated to them

Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, 2002 - 2004

MIYAKE Katsuya, NAKAMULA Ken, KURIHARA Masato, TOKUNAGA Hiroo, MATSUNO Kazuo, NAKANO Shin
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
Algebraic and Analytic Research of Transcendental Numbers

Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, 1996 - 1997

IITAKA Shigeru, NAKANO Shin, MIZUTANI Akira, KATASE Kiyoshi, FUJIWARA Daisuke, KURODA Shigetoshi

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