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Noriko HIRATA-Kohno

 
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NameNoriko HIRATA-Kohno
Alternative NamesNoriko HIRATA-Kohno
URLhttp://trout.math.cst.nihon-u.ac.jp/~hirata/
AffiliationNihon University
SectionCollege of Science and Technology, Department of Mathematics
Job titleProfessor
DegreeDoctorat (Universite de Paris 6)(Universite de Paris 6 (FRANCE)), Ph.D. (Tohoku University)(Tohoku University)
Research funding number90215195

Research Interests

 
Number theory , Diophantine approximation , Crypto system , linear forms in logarithms , polylogarithms

Research Areas

 
  • Mathematics / Algebra / Number Theory
  • Mathematics / Foundations of mathematics/Applied mathematics / Cryptosystem

Academic & Professional Experience

 
Mar 1989
 - 
Mar 1991
Nara Women's University, Assistant
 
Apr 1991
 - 
Mar 1993
Tokyo Institute of Technology, Assistant
 
Mar 1993
 - 
Mar 1993
MSRI, Berkeley, Invited Researcher
 
Apr 1993
 - 
Mar 1998
Nihon University, Lecturer
 
Jun 1993
 - 
Jun 1993
ETH, Invited researcher
 

Association Memberships

 
The Mathematical Society of Japan , Societe Mathematique de France , 数学教育学会 , The Japan Society for Industrial and Applied Mathematics

Awards & Honors

 
Mar 2014
内閣府FIRSTシンポジウム「科学技術が拓く2030年へのシナリオ」NEXTグリーンイノベーションポスターセッション銀賞, 内閣府FIRSTシンポジウム「科学技術が拓く2030年へのシナリオ」NEXTグリーンイノベーションポスターセッション銀賞, 内閣府FIRSTシンポジウム「科学技術が拓く2030年へのシナリオ」組織委員会
 
Dec 2008
文部科学省 科学技術・学術政策研究所 ナイスステップな研究者2008, 文部科学省 科学技術・学術政策研究所 ナイスステップな研究者2008
 
Nov 1995
日本大学理工学部 学術賞, 日本大学理工学部 学術賞
 

Books etc

 
プリンストン数学大全
共同監訳者:砂田利一・石井仁司・二木昭人・森真, 共訳者:伊藤隆一,岡田聡一,金川秀也,久我健一,小林正典,志賀弘典,志村立矢,高松敦子,田中一之,徳重典英,長谷川浩司,細矢治夫,松本健吾,松本敏子,水谷正大,三宅克哉,宮本雅彦,山田道夫,山内藤子,吉荒 聡,吉原健一,渡辺 治,渡辺敬一 (Part:Joint Editor, 監訳編集委員・翻訳)
朝倉書店   Nov 2015   ISBN:978-4254111439
プリンストン大学出版局刊行「The Princeton Companion to Mathematics」の全訳
朝倉 数学辞典
朝倉書店   Jun 2016   ISBN:978-4254111255
岩波 数学辞典
日本数学会編 (Part:Joint Work, 第4版 超越数・ディオファントス近似)
岩波書店   Mar 2007   

Conference Activities & Talks

 
N. Hirata-Kohno
Transcendence and Diophantine Problems   13 Jun 2019   Moscow MIPT and University of Moscow
Noriko Hirata-Kohno and Makoto Kawashima
Diophantine Approximation and Transcendence CIRM, Luminy   12 Sep 2018   CIRM (Centre International de Recherches Mathematiques), Luminy
The initial goal of Diophantine approximation is the study of the approximation of a real point by rational points and the tools which have been created to that purpose remain at the basis of transcendence’s results. There exists a Diophantine mat...
Linear independence of special values of logarithms via Pade approximations [Invited]
M. Kawashima and N. Hirata-Kohno
Effective methods in Diophantine problems, Leiden   18 Jun 2018   Leiden University, the Netherlands
M. Kawashima and N. Hirata-Kohno
Diophantine Analysis and Related Fields 2018   1 Mar 2018   Diophantine Analysis and Related Fields 2018
Noriko Hirata-Kohno
Diophantine Approximation and Algebraic Curves, BIRS   6 Jul 2017   BIRS, Banff International Research Station 17w5045
N. Hirata-Kohno
Leuca 2016 conference (celebrating Michel Waldschmidt's 70th birthday)   14 Jun 2016   Leuca 2016 Scientific Committee
Noriko Hirata-Kohno
RIMS Workshop   5 Dec 2014   RIMS, Kyoto University
Linear independence criterion for polylogarithms in the complex and in the p-adic cases [Invited]
N. Hirata-Kohno
Approximations Diophantiennes et Nombres Transcendants, CIRM, Lunimy, France   19 Sep 2014   CIRM, Centre Internatinal de Rencontres Mathematiques, Luminy, France
Diophantine approximation [Invited]
N. Hirata-Kohno
Diophantine approximation, MFO workshop, Germany   Sep 2016   MFO
Visibility problem via Minkowski convex body theorem and Mathematica [Invited]
栗島昴大・鈴木雄大・栗本裕太・石井夕紀子・鈴木潔光・平田典子
RIMS workshop(公開型)   20 Aug 2019   RIMS, Kyoto University
On the unit equations: history and open problems [Invited]
Noriko Hirata-Kohno
WINJ Number theory   18 May 2019   WINJ
Geometrical instructions employing GeoGebra on iPad and developments [Invited]
H. Furutsu, Y. Ishii and N. Hirata-Kohno
Workshop on Instructions by Tex   2 Mar 2019   
Chairperson [Invited]
Noriko Hirata-Kohno
MathSocJapan   26 Sep 2018   日本数学会
Chairperson [Invited]
Noriko Hirata-Kohno
Diophantine Approximation and Transcendence CIRM, Luminy   13 Sep 2018   CIRM (Centre International de Recherches Mathematiques), Luminy
The initial goal of Diophantine approximation is the study of the approximation of a real point by rational points and the tools which have been created to that purpose remain at the basis of transcendence’s results. There exists a Diophantine mat...
An HFE-based variant of a key exchange protocol employing mulitivariate polynomial maps
Shuhei Nakamura, Masaru Ito, Koichiro Akiyama, Noriko Hirata-Kohno
JSIAM Annual meeting   5 Sep 2018   JSIAM
Kronecker Approximation Theorem employing Mathematica [Invited]
N. Hirata-Kohno, Y. Ishii, Y. Kurimoto, S. Shimawaki, K. Suzuki, Y. Washio
Workshop RIMS, Kyoto University   27 Aug 2018   RIMS, Kyoto University
Analytic Number Theory and Related Area [Invited]
Analytic Number Theory and Related Area
Analytic Number Theory and Related Area   31 Oct 2017   RIMS, Kyoto University
A wild polynomial automorphism in positive characteristic anda key exchange protocol
S. Nakamura, M. Ito, K. Akiyama, N. Hirata-Kohno
JSIAM Annual meeting   6 Sep 2017   JSIAM
Noriko Hirata-Kohno, Yusuke Washio, Y. Ishii, Y. Kurimoto, K. Suzuki, M. Zenyoji
RIMS Workshop   30 Aug 2017   RIMS, Kyoto University
M. Ito, S. Nakamura, K. Akiyama and N. Hirata-Kohno
JSIAM, Algorithmic Number Theory and Its Applications   7 Mar 2017   JSIAM
Koichiro Akiyama and Noriko Hirata-Kohno
2017 Symposium on Cryptography and Information Security, Naha   26 Jan 2017   電子情報通信学会 情報セキュリティ研究専門委員会
多重対数関数:ディオファントス近似の視点から [Invited]
Noriko Hirata-Kohno
中央大学理工学部数学科談話会   19 Dec 2014   中央大学理工学部数学科
Diophantine method in determining problem of lattice points
M. Ito and N. Hirata-Kohno
JANT, JSIAM   4 Sep 2014   JSIAM
A new cryptosystem based on Diophantine equations
Noriko Hirata-Kohno (with T. Kovacs)
JANT, JSIAM   20 Mar 2014   Japan Algorithmic Number Theory (JANT)
Polylogarithms from the viewpoint of Hermite-Pade approximation [Invited]
Noriko Hirata-Kohno
East Asia Number Theory Conference   20 Jan 2014   Kyushu University
Diophantine approximations related to polylogarithms [Invited]
Noriko HIRATA-Kohno
RIMS Workshop   7 Nov 2013   RIMS, Kyoto University
数学ソフトウェアとその効果的教育利用に関する研究
青柳美輝・平田典子・山本修一
RIMS workshop   19 Aug 2013   
On a key exchange protocol based on Diophantine equations
Attila Peth\H{o}
Central European Conference on Cryptology 2013, Telc, Czech Republic   28 Jun 2013   Central European Conference on Cryptology
Sur l'irrationalite de polylogarithmes
Seminaire Arithmetique et geometrie algebrique, University of Strasbourg, France   8 Mar 2013   Institute of Mathematics, University of Strasbourg, France
L'irrationalite de polylogarithmes
Problemes Diophantiens, University of Paris 6, France   7 Mar 2013   Institute of Mathematics, University of Paris 6, France
On the irrationality of polylogarithms
Seminaire de theorie des nombres, University of Caen, France   28 Feb 2013   Institute of Mathematics, University of Caen, France
Polylogarithms revisited from the viewpoint of the irrationality
RIMS workshop (organized by Prof. Shiho)   7 Dec 2012   RIMS, Kyoto University
Pade approximations of polylogarithms
Graduate School of Mathematics, Tohoku University   15 Oct 2012   Graduate School of Mathematics, Tohoku University
Polylogarithms revisited from the viewpoint of the irrationality
Komaba monthly seminar, University of Tokyo   21 Jul 2012   Komaba monthly seminar
Arithmetic properties of elliptic polylogarithms
Graduate School of Math., Osaka University   14 May 2012   Graduate School of Math., Osaka University
Arithmetic properties of p-adic elliptic polylogarithms and irrationality
Oberwolfach MFO, Diophantische Approximationen Workshop, Germany   27 Apr 2012   Oberwolfach MFO, Germany
Arithmetic properties of p-adic elliptic of polylogarithmic functions
Diophantine Analysis and Related Fields 2012, Niigata University   9 Jan 2012   
p進楕円対数一次形式
小林 一善(長野日大高等学校)
日本数学会秋季総合分科会   1 Oct 2011   日本数学会
On Diophantine approximations
Sendai Symposium   25 Aug 2011   Graduate School of Information Sciences, Tohoku University
p-adic elliptic logarithms and polylogarithms
Sendai Symposium   25 Aug 2011   Graduate School of Information Sciences, Tohoku University
The abc conjecture and Diophantine problems
The 8th KWMS International Conference (June 20-21, 2011), Korean Institute for Advanced Study, Korea   21 Jun 2011   Korean Institute for Advanced Study
Recent results on unit equations and subspace theorem
Analytic Number Theory 2010 (October 4-8) , RIMS, Kyoto University   6 Oct 2010   Analytic Number Theory 2010 (October 4-8) , RIMS, Kyoto University
Introduction to Diophantine approximations
Analytic Number Theory 2010 (October 4-8) , RIMS, Kyoto University   5 Oct 2010   Analytic Number Theory 2010 (October 4-8) , RIMS, Kyoto University
Unit equations having few solutions
Approximations diophantiennes, CIRM, Luminy, France   6 Sep 2010   Approximations diophantiennes, CIRM, Luminy, France
Iwasawa p-adic logarithmic function and applications
Diophantine Approximation and Analytic Number Theory, Banff, Canada   3 Jun 2010   The Banff International Research Station, Canada
p-adic logarithmic functions and applications
Analytic Number Theory and Related Topics, RIMS, Kyoto University   16 Oct 2009   RIMS, Kyoto University
exceptional classes of unit equations
Geometry and Analysis of Automorphic Forms of Several Variables, Universty of Tokyo   16 Sep 2009   Geometry and Analysis of Automorphic Forms of Several Variables, Universty of Tokyo
p-adic aspects in Diophantine approximations
Rencontre differentio-diophantienne, Institut Henri Poincare, Paris, France   25 Mar 2009   Rencontre differentio-diophantienne, Institut Henri Poincare, Paris, France
Linear forms in 3 p-adic elliptic logarithms
Rina TAKADA
Diophantine Analysis and Related Fields 2009, Nihon University   2 Mar 2009   
Unit equations having few solutions
Workshop on Arithmetic Geometry: Diophantine approximation and Arakelov theory, Fields Institute, Canada   22 Oct 2008   Fields Institute, Canada
Unit equations having few solutions
Hayama Symposium on Complex Analysis in Several Variables, Hayama   13 Jul 2008   Hayama Symposium on Complex Analysis in Several Variables, Hayama
Linear forms in 3 elliptic logarithms
Rina Takada
Diophantine Analysis and Related Fields 2008, Doshisha, Kyoto   7 Mar 2008   
Unit equations having few solutions
Analytic Number Theory and Related Topics, RIMS, Kyoto University   19 Oct 2007   Analytic Number Theory and Related Topics, RIMS Workshop, Kyoto
ディオファントス問題(日本数学会 企画特別講演)
日本数学会秋季総合分科会   23 Sep 2007   日本数学会
The number of the solutions to Unit equations
Workshop on Holomorphic Mappings, Kobayashi Hyperbolicity and Diophantine Approximation, University of Tokyo   22 Jul 2007   Workshop on Holomorphic Mappings, Kobayashi Hyperbolicity and Diophantine Approximation, University of Tokyo
Almost Integer-valued functions in characteristic p
David Adam
Oberwolfach MFO, Diophantine Approximation Workshop, Germany   20 Apr 2007   Oberwolfach MFO, Diophantine Approximation Workshop, Germany
Exponential Diophantine equations and linear forms in p-adic logarithms
David Adam
Diophantine Analysis and related Fields 2007, Mathematical Sciences, Keio University   9 Mar 2007   Diophantine Analysis and related Fields 2007, Mathematical Sciences, Keio University
Unit equations and Integer points on algebraic curve
Analytic number theory, RIMS, Kyoto University   12 Oct 2006   RIMS Workshop
Number of the solutions to unit equation
Approximation diophantienne et nombres transcendants, CIRM, France   7 Sep 2006   CIRM, Luminy (September 4-8, 2006), France
Number of the solutions to Exponenntial Diophantine equations
Diophantine Problems, BIRS, Canada   14 May 2006   BIRS, Banff Center, Canada
Number of the solutions to unit equation in two variables
Diophantine approximation and Heights, ESI (the Erwin Schrödinger International Institute for Mathematical Physics), Vienna, Austria   21 Mar 2006   ESI, Vienna, Austria
Exponential Diophantine Equations
Diophantine Equations, Tata Institute of Fundamental Research, India   16 Dec 2005   Tata Institute of Fundamental Research, India
Exponential Diophantine Equations via S-unit equation
Conference in honor of Prof. Morita's 60's birthday, Tohoku University   23 Nov 2005   Tohoku University
p-adic Eisenstein series and Lang-Schneider theorem
Number Theory and Beyond, Kinki University, Osaka   14 Oct 2005   Kinki University
Diophantine approximation and Lattice of the integers from the view point of Geometry of Numbers
Algebraic Combinatorics and applications, RIMS, Kyoto university   4 Oct 2005   Algebraic Combinatorics and applications, RIMS, Kyoto university
Diophantine approximation on Tate curves
Workshop on Diophantine Problems over Function Fields, Hayama   24 Aug 2005   Workshop on Diophantine Problems over Function Fields
Diophantine Approximations to p-adic logarithms
Values of zeta functions and rational approximations, University of Tokyo   20 Feb 2005   University of Tokyo
Linear forms in logarithms: variable change of Chudnovsky
Theorie des nombres, University of Grenoble, France   17 Jan 2005   Theorie des nombres, University of Grenoble, Groupe de travail, Grenoble, France
Exponential diophantine equations
Groupe de travail, University of Paris 6, France   12 Jan 2005   Groupe de travail, University of Paris 6, France
p-adic Diophantine geometry on Tate elliptic curves and the abc conjecture
Algebraic number theory and Related topics, RIMS, Kyoto university   7 Dec 2004   RIMS, Kyoto university
S-unit equations and integer solutions to exponential Diophantine equations
Analytic number theory and Surrounding areas, RIMS, Kyoto university   19 Oct 2004   RIMS, Kyoto University
p-adic elliptic logarithms of Luts-Weil and of Tate
Diophantine Approximation, Waterloo, Canada   17 Jun 2004   University of Waterloo, Canada
Diophantine approximations and the abc conjecture
Number Theory, Tsuda College   18 Dec 2003   Tsuda College
Linear forms in p-adic elliptic logarithms
Analytic number theory, RIMS, Kyoto University   30 Sep 2003   RIMS, Kyoto University
Linear forms in p-adic elliptic logarithms
Diophantine Approximations, Leiden, the Netherlands   29 Jul 2003   Diophantine Approximations, Leiden, the Netherlands
Arithmetical Properties of Gauss Hypergeometric Function
Number Theory, University of Debrecen, Hungary   25 Jul 2003   Number Theory, University of Debrecen, Hungary
Diophantine Problems: Recent progress and Open problems
Value Distributions, University of Tokyo   21 Jul 2003   Value Distributions, University of Tokyo
Linear forms in p-adic elliptic logarithms
Theorie des nombres, University of Paris 6, France   22 May 2003   Theorie des nombres, University of Paris 6, Groupes de Travail, France
Linear Forms in Logarithms
Groupe de travail, University of Grenoble, France   21 May 2003   Groupe de travail, Seminaire d'arithmetique, University of Grenoble
Diophantine Approximation of values of Gauss hypergeometric function
Number Theory, University of Lille 1, France   9 May 2003   Number Theory, University of Lille 1, France
Diophantine Approximations of Values of Gauss' hypergeometric function
Diophantine Problems and Analytic Number Theory, RIMS, Kyoto University   21 Oct 2002   RIMS, Kyoto University
On certain diophantine equations
Approximations diophantiennes, CIRM, France   6 May 2002   CIRM, France
Wirsing systems and resultant inequalities
Journees Arithmetique et Transcendance, University of St Etienne, France   7 Dec 2001   University of St Etienne, France
Diophantine Inequalities and Gap principle
New Aspects of Analytic Number Theory, RIMS, Kyoto University   26 Nov 2001   RIMS, Kyoto University
On Wirsing systems
Diophantine Problems, University of Lille 1, France   11 Jun 2001   Diophantine Problems, University of Lille 1, France
On Wirsing system
Number Theory, University of Colorado, Boulder, USA   15 Mar 2001   Number Theory, University of Colorado, Boulder, USA
Infiniteness and finiteness of the solutions to Diophantine systems
Analytic number theory and Related topics, RIMS, Kyoto University   18 Dec 2000   Analytic number theory and Related topics, RIMS, Kyoto University
Linear forms in logarithms on Elliptic curves
Analytic Number Theory Workshop, RIMS, Kyoto University   23 Oct 2000   Analytic Number Theory Workshop, RIMS, Kyoto University
Diophantine Inequalities:finiteness and infiteness of the solutions
Number Theory, Tsuda College   4 Sep 2000   Tsuda College
Linear forms in elliptic logarithms
Diophantine Approximations, Cetoraro, Italy   27 Jun 2000   Diophantine Approximations, Cetoraro, Math Soc of Italy
Sur la finitude des solutions de degre borne d'un systeme d' inegalites de type de Wirsing
Number Theory, University of Lille I, France   11 Feb 2000   University of Lille I, France
Formes Lineaires de Logarithmes Elliptiques
Number Theory, University of Caen, France   17 Dec 1999   Number Theory, University of Caen, France
Changement de variable de Chudnovsky et applications
Number theory, University of Paris, France   16 Dec 1999   University of Paris, France
Linear Formes in Elliptic Curves, Number Theory
Number theory, University of Cambridge, England   30 Nov 1999   Number theory, University of Cambridge, England
Formes Lineaires de Logarithmes Elliptiques
Journees Arithmetique et Transcendance, University of Strasbourg, France   5 Nov 1999   Journees Arithmetique et Transcendance, University of Strasbourg, France
Linear Formes in Elliptic Logarithms
Intercity Seminar, University of Leiden, the Netherlands   21 May 1999   Intercity Seminar, University of Leiden, the Netherlands
Baker Method on Elliptic Curves one Refinements
Academy of Sciences, Taiwan   9 Apr 1999   Academy of Sciences, Taiwan
Baker Theory on Elliptic Curves
Centre Emile Borel, IHP, Paris, France   2 Feb 1999   Centre Emile Borel, IHP, Paris, France
Recent Development os S-Unit Equations by Evertse-Schlickewei-Schmidt
Analytic Number Theory Workshop, RIMS, Kyoto University   30 Nov 1998   Analytic Number Theory Workshop, RIMS, Kyoto University
Integer Solutions of Diophantine Inequalities
Algebraic Number Theory and Related Topics, RIMS, Kyoto University   19 Oct 1998   Algebraic Number Theory and Related Topics, RIMS, Kyoto University

Published Papers

 
Diophantine Approximation
Noriko Hirata-Kohno
Exposition American Mathematical Society   accepted for publication    2020   [Refereed][Invited]
Noriko Hirata-Kohno, Masaru Ito and Yusuke Washio
RIMS, Bessatsu, Kyoto University   B64 3-18   2017   [Refereed][Invited]
Noriko Hirata-Kohno and Florian Luca
Rocky Mountain Journal of Mathematics   45(2) 509-538   Jun 2015   [Refereed]
S. David and Noriko Hirata-Kohno
Journal für die reine und angewandte Mathematik   628 37-89   Mar 2009   [Refereed]
Noriko Hirata-Kohno
Inventiones Mathematicae   104 401-433   Apr 1991   [Refereed]
A key exchange protocol relying on polynomial maps
K. Akiyama, S. Nakamura, M. Ito and Noriko Hirata-Kohno
International Journal of Mathematics for Industry   in press    May 2019   [Refereed]
Linear dependence criterion of almost integer valued functions:a generalization of the Polya-Pisot theorem
H. Furutsu and N. Hirata-Kohno
J. Research Institute of Science and Technology, Nihon University   144 12-16   Mar 2019   [Refereed]
N. Hirata-Kohno, Y. Ishii, Y. Kurimoto, S. Shimawaki, K. Suzuki, Y. Washio
RIMS Kokyuroku   2105 33-38   Feb 2019   [Invited]
N. Hirata-Kohno, Y. Ishii, Y. Kurimoto, K. Suzuki, Y. Washio, M. Zenyoji
RIMS Kokyuroku   2067 55-64   Aug 2018   [Invited]
Schinzel’s theorem on a circle via GeoGebra
栗本裕太・鷲尾勇介・中村周平・鈴木潔光・平田(河野)典子
66th JSEEja   58-59   Aug 2018   [Refereed]
Active instructions by Mathematica to study the concept of complex numbers
H. Wachi, K. Suzuki and N. Hirata-Kohno
65th JSEEja   556-557   Aug 2017   [Refereed]
Active instructions by Mathematica to study the concept of Coils
R. Ochiai, K. Suzuki and N. Hirata-Kohno
65th JSEEja   554-555   Aug 2017   [Refereed]
Noriko Hirata-Kohno, Tunde Kovacs-Coskun and Takafumi Miyazaki
RIMS Kokyuroku   Vol 2013 60-67   Mar 2017   [Invited]
Collaboration between high school and university based on Baumkuchen integral
本間暁博・加瀬慎之助・鈴木潔光・平田典子
64th JSEEja   520-521   Sep 2016   [Refereed]
J. Research Institute of Science and Technology, Nihon University   136 12-16   Jun 2016   [Refereed]
Practice in mathematics education via active instructions: an introduction of envelope by Mathematica
加瀬慎之助・鈴木潔光・善養寺未来・中村周平 ・本間暁博・山本啓史・平田典子
JSEE   64(2) 67-69   Mar 2016   [Refereed]
Application by Mathematica to study the concept of envelope
加瀬慎之助・鈴木潔光・平田典子
63th JSEEja   144-145   Sep 2015   [Refereed]
Application of dynamic instructions for learning complex plane
善養寺未来・鈴木潔光・平田典子
63th JSEEja   146-147   Sep 2015   [Refereed]
Attila Berczes, Lajos Hajdu, Noriko Hirata-Kohno, Tunde Kovacs and Attila Petho
JSIAM Letters   6 85-88   Dec 2014   [Refereed]
女子学生の理工系選択における高等学校の教科「数学」の寄与に関する考察
田中美佐・青柳美輝・平田典子
工学教育   62(6) 98-102   Nov 2014   [Refereed]
Diophantine approximation related to polylogarithms
Noriko Hirata-Kohno
RIMS Kokyuroku   1898 194-206   May 2014   [Invited]
Computing S-integral points on elliptic curves of rank at least 3
Noriko Hirata-Kohno and Tunde Kovacs
RIMS Kokyuroku   1898 92-102   May 2014   [Invited]
An investigation on introductory learning by means of dynamic image in the course of Teaching method of mathematics
青柳美輝・山本修一・平田典子
日本大学理工学部一般教育教室彙報   95 21-30   Nov 2013   [Refereed]
On a key exchange protocol based on Diophantine equations
Noriko Hirata-Kohno and A. Petho
Infocommunications Journal   5(3) 17-21   Sep 2013   [Refereed][Invited]
M. Ito and Noriko Hirata-Kohno
Interdisciplinary Information Sciences   19(2) 135-142   Sep 2013   [Refereed]
平面上の曲線と複素数の指導におけるMathematica の活用例
青柳美輝・山本修一・平田典子
RIMS Kokyuroku   1909 36-46   Aug 2013   [Invited]
New visual instructions of mathematics related to the tiling
鷲尾勇介・鈴木潔光・平田典子
61th JSEEja   350-351   Aug 2013   [Refereed]
Visual instructions of trigonometric ratio based on lattices and case study in mathematics education
鷲尾勇介・平田典子
JSEE   61(3) 113-115   May 2013   [Refereed]
Noriko Hirata-Kohno
Oberwolfach report, Diophantische Approximationen (eds. Y. Bugeaud and Yu. V. Nesterenko), European Math. Soc.   9(2) 1347-1351   Dec 2012   [Invited]
Noriko Hirata-Kohno and Hironori Okada
Proceedings of the Japan Academy   series A, 88(9) 156-161   Nov 2012   [Refereed]
単位円上の有理数座標の点の幾何学的考察
鷲尾勇介・平田典子
数学教育学会誌臨時増刊号   2012年秋季例会発表論文集 84-86   Sep 2012
New visual instructions of trigonometric ratio related to irrational numbers: Properties of values of the sine function and vertex arrangement of regular polygons
鷲尾勇介・岡田裕紀・平田典子
60th JSEEja   560-561   Aug 2012   [Refereed]
Diophantine Approximations
Noriko Hirata-Kohno
Sugaku   64(3) 254-277   Jul 2012   [Refereed][Invited]
Arithmetic properties of p-adic elliptic logarithmic functions
Noriko Hirata-Kohno
Series on Number Theory and its Applications   7 110-119   Sep 2011   [Refereed][Invited]
Linear forms in two elliptic logarithms in the p-adic case
Noriko Hirata-Kohno and Rina Takada
Kyushu Journal of Mathematics   64(2) 239-260   Sep 2010   [Refereed]
Practical instructions of trigonometric functions in the engineering course
宮臣有紀・鈴木潔光・平田典子
58th JSEEja   376-377   Aug 2010   [Refereed]
Unit equations having few solutions
Noriko Hirata-Kohno
RIMS Kokyuroku   1665 152-159   Oct 2009   [Invited]
円周率の無理数性の証明とその教育 II
林 誠,平田典子
日本大学理工学部一般教育彙報   83 1-16   Dec 2008   [Refereed]
Diophantine approximation of the values of hypergeometric function of Gauss
Noriko Hirata-Kohno and M. Huttner
Diophantine Analysis and Related Fields, AIP Conference Proceedings Volume   976 106-110   Mar 2008   [Invited]
Logarithmic Functions and Formal Groups of Elliptic Curves
S. David and Noriko Hirata-Kohno
Diophantine Equations, Tata Institute of Fundamental Research, Narosa   vol.1 243-256   Feb 2008   [Refereed][Invited]
円周率の無理数性の証明とその教育 I
林 誠,平田典子
イプシロン, 愛知教育大学数学教育学会誌   49 53-58   Dec 2007   [Refereed]
D. Adam and Noriko Hirata-Kohno
Diophantische Approximationen,eds. Yu. V. Nesterenko and H. P. Schlickewei, European Math. Soc.   4(2) 4 pages of 1115-1109   Dec 2007   [Invited]
An extension of a theorem of Euler
Noriko Hirata-Kohno, S. Laishram, T. N. Shorey and R. Tijdeman
Acta Arithmetica   129(1) 71-102   Sep 2007   [Refereed]
Integer-valued and almost integer-valued functions
Noriko Hirata-Kohno
RIMS Kokyuroku   1476 78-87   Dec 2006   [Invited]
S-unit Equations and Integer Solutions to Exponential Diophantine Equations
Noriko Hirata-Kohno
RIMS Kokyuroku   1511 92-97   Oct 2006   [Invited]
Almost integer-valued functions in positive Characteristic
D. Adam and Noriko Hirata-Kohno
Diophantine Analysis and related Fields 2006,Seminar on Mathematical Sciences, Keio University   35 1-10   Jun 2006   [Invited]
p-adic Diophantine Approximations on Tate curves and the abc-conjecture
Noriko Hirata-Kohno
RIMS Kokyuroku   1451 61-71   Nov 2005   [Invited]
Linear forms in p-adic elliptic logarithms
Noriko Hirata-Kohno
RIMS Kokyuroku   1384 72-79   Nov 2004   [Invited]
Diophantine approximation of values of Gauss' hypergeometric function
Noriko Hirata-Kohno and Marc Huttner
RIMS Kokyuroku   1319 230-235   Dec 2003   [Invited]
Wirsing System of Diophantine Inequalities
Noriko Hirata-Kohno
RIMS Kokyuroku   1274 88-93   Nov 2002   [Invited]
Recent progress on linear forms in elliptic logarithms
S. David and Noriko Hirata-Kohno
A Panorama in Number Theory, Canbridge UP   26-37   Sep 2002   [Refereed][Invited]
Wirsing systems and resultant inequalities
Jan-Hendrik Evertse and Noriko Hirata-Kohno
Number Theory of the New Millennium, A. K. Peters   1 449-461   Apr 2002   [Refereed][Invited]
Linear Forms in Logarithms on Elliptic Curves
Noriko Hirata-Kohno
RIMS Kokyuroku   1219 151-158   Dec 2001   [Invited]
Finiteness and Infiniteness of the Solutions to a System of Diophantine Inequalities
Noriko Hirata-Kohno
RIMS Kokyuroku   1200 210-219   Nov 2001   [Invited]
Integer Solutions of Resultant Inequalities
Noriko Hirata-Kohno
RIMS Kokyuroku   1091 112-118   1999   [Invited]
On Unit Equations
Noriko Hirata-Kohno
RIMS Kokyuroku   1097 27-36   1999   [Invited]
On Wirsing's Approximations
Noriko Hirata-Kohno
RIMS Kokyuroku   1060 210-219   1998   [Invited]
Integral Points and Schmidt Subspace Theorem
Noriko Hirata-Kohno
RIMS Kokyuroku   1026 89-103   1998   [Invited]
On the Equation(X<SUP>m</SUP>-1)/(x-1)=Y<SUP>q</SUP> with x Power
Noriko Hirata-Kohno and T. N. Shorey
Analytic Number Theory, London Mathematical Society Lecture Note Series, Cambridge UP   247 119-125   Sep 1997   [Refereed][Invited]
Diophantine approximation on elliptic curves
Noriko Hirata-Kohno
RIMS Kokyuroku   958 82-89   1996   [Invited]
An application of quantitative subspace theorem
Noriko Hirata-Kohno
RIMS Kokyuroku   886 81-87   1994   [Invited]
Integer points on algebraic curves
Noriko Hirata-Kohno
RIMS Kokyuroku   837 101-111   1993   [Invited]
Une relation eutre les poins eutiers sur une courbe algebrique et les points rationnels de la jacobienne
Noriko Hirata-Kohno
Advances in Number Theory, Oxford UP   421-433   Oct 1993   [Refereed][Invited]
Approximations simultanees sur les groupes algebriques commutatigs
Noriko Hirata-Kohno
Compositio Mathematica   86 69-96   Jun 1993   [Refereed]
Les points entiers sur une courbe algebrique ayant la jacobienne simple
Noriko Hirata-Kohno
Analytic number theory and related topics, World Scientific   35-44   May 1993   [Refereed][Invited]
Nouvelles mesures de transcendance liees aux groupes algebriques commutatifs
Noriko Hirata-Kohno
Approximations Diophantienne et Nombres Transcendants (ed. P. Philippon), de Gruyter   165-172   Dec 1992   [Refereed][Invited]
Diophantine approximations for periods of exponential and elliptic functions
Noriko Hirata-Kohno
Proceedings of the Japan Academy   66(A-6) 126-131   Dec 1990   [Refereed]
Mesures de trauscendance pour les quotients de periodes d´integrales elliptiques
Noriko Hirata-Kohno
Acta Arithmetica   56(2) 111-133   Dec 1990   [Refereed]
Minorations effectives de formes lineaires de logarithmes sur les groupes algebriques
Noriko Hirata-Kohno
Comptes Rendus de l'Académie des sciences   311(I) 753-755   Oct 1990   [Refereed]
Formes lineaires d´integrales ellintiques
Noriko Hirata-Kohno
Progress in Mathematics, Birkhauser   91 117-140   May 1990   [Refereed]
Linear forms in logarithms
Noriko Hirata-Kohno
RIMS Kokyuroku   708 86-96   1989   [Invited]
Approximation de periodes de fonctions meromorphes
Noriko Hirata-Kohno
Number Theory (ed. J.-M. De Koninck and C. Levesque), de Gruyter   386-397   Dec 1989   [Refereed][Invited]
Approximation diophantienne de valeurs et de periodes de fonctions complexes
Noriko Hirata-Kohno
University of Paris 6   93 p   Feb 1989   [Refereed]
有理関数の周期の代数的独立性及び超越性について
Noriko Hirata-Kohno
RIMS Kokyuroku   631 99-109   1987   [Invited]
Approximation de periodes de forctions meromorphes
Noriko Hirata-Kohno
Publications Math. Univ. Pierre et Marie Curie   84 1-27   Dec 1987   [Invited]
Dependance lineaire de fonctions arithmetiques et presque arithmetiques
Noriko Hirata-Kohno
Publications Math. Univ. Pierre et Marie Curie   79 1-21   Nov 1986   [Invited]
A quantitative version of the Schneider-Lang theorem
Noriko Hirata-Kohno
RIMS Kokyuroku   599 24-32   Oct 1986   [Invited]
Dependance lineaire de fonctions arithmetiques et presque arithmetiques
Noriko Hirata-Kohno
Proceedings of the Japan Academy   61(A-8) 274-277   Nov 1985   [Refereed]

Research Grants & Projects

 
超一様分布数列のディオファントス近似とKontsevich-Zagier周期予想
JSPS: 
Project Year: Apr 2018 - Mar 2022    Investigator(s): Noriko Hirata-Kohno
数論的多重対数予想の解決を担う新しい直交多項式系の創成とパデ近似
JSPS: 
Project Year: Apr 2015 - Mar 2019    Investigator(s): Noriko Hirata-Kohno
ディオファントス方程式の変換とクリプトシステム原理の新展開
文部科学省: 科学研究費 特設分野研究[連携探索型数理科学] 基盤研究(C)
Project Year: Jul 2014 - Mar 2018    Investigator(s): 平田典子(河野典子)
ディオファントス近似とディオファントス方程式
文部科学省: 科学研究費
Project Year: 2012 - 2013    Investigator(s): Noriko Hirata-Kohno
岩澤p進対数に基づくp進アーベル積分の解明とabc予想型ディオファントス不等式
文部科学省: 科学研究費
Project Year: 2010 - 2010
葉層構造と群作用の研究
JSPS: 
Project Year: Apr 2018 - Mar 2023    Investigator(s): Noriko Hirata-Kohno
Diophantine Analysis and Related Fields 2017 (DARF 2017)
日本大学理工学部: 日本大学理工学部シンポジウム助成金
Project Year: Apr 2016 - Mar 2017    Investigator(s): Noriko Hirata-Kohno
Asymptotic expansion method in number theory and orthogonal polynomials
日本大学理工学部: 理工学部基礎科学研究助成金
Project Year: Jun 2014 - Mar 2015    Investigator(s): 平田典子(河野典子)
High dimensional p-adic Diophantine approximations and a cryptosystem based on integer lattices
内閣府(運営はJSPS): The Funding Program for Next Generation World-Leading Researchers (NEXT Program)
Project Year: 2010 - 2013
Unit equations and linear forms in p-adic logarithms
日本大学: 日本大学学術研究助成金 一般研究(個人研究)
Project Year: 2008 - 2008
The abc-conjecture and p-adic Diophantine geometry by a new approach via Period conjecture
文部科学省: 科学研究費
Project Year: 2007 - 2009
数論的関数の研究
文部科学省: 科学研究費
Project Year: Nov 2005 - Apr 2007    Investigator(s): Noriko Hirata-Kohno
The abc-conjecture and p-adic Diophantine geometry by a new approach via Period conjecture
文部科学省: 科学研究費
Project Year: 2004 - 2006
ディオファントス連立方程式と連立不等式の定量化の研究
日本大学: 日本大学学術研究助成金・一般研究(個人)
Project Year: 2002 - 2002
アラケロフ幾何学におけるディオファントス近似不等式とギャップ原理
文部科学省: 科学研究費
Project Year: 2000 - 2003
新しい定量的ディオファントス近似理論の構築
文部科学省: 科学研究費
Project Year: 1997 - 1998
回帰数列における差分方程式の非線形化と超越数
文部科学省: 科学研究費
Project Year: 1996 - 1996
ディオファントス近似の研究
日本大学: 日本大学理工学部学術賞研究助成金
Project Year: 1995 - 1996
ディオファントス近似の手法による代数多様体の整数点の評価
文部科学省: 科学研究費一般研究(C)
Project Year: 1994 - 1996

Education

 
Oct 1986
 - 
Feb 1989
Mathematics Major, Graduate School of Science, Universite de Paris VI
 

Committee Memberships

 
Jun 2012
 - 
May 2014
The Mathematical Society of Japan  Trustee
 
May 2012
 - 
May 2014
The Mathematical Society of Japan  Editor in Chief, Sugaku Tushin
 
Mar 2011
 - 
Feb 2013
The Mathematical Society of Japan  councilor of Algebra session
 
May 2010
 - 
May 2012
The Mathematical Society of Japan  Editor in Chief, Sugaku Tushin
 
Apr 2010
 - 
Apr 2012
The Mathematical Society of Japan  Trustee
 

Social Contribution

 
Science Council of Japan
[]  3 Oct 2011 - 30 Sep 2023
連携会員(平田典子で登録)
JST CREST 研究領域アドバイザー
[]  2014 - 2019
数学オリンピック財団 理事
[]  1 Jun 2012
JST
[]  13 Dec 2012 - 31 Mar 2013
文部科学省大学設置・学校法人審議会大学設置分科会 理学専門委員会
[]  文部科学省  Oct 2016 - Sep 2018

Others

 
尽きぬ夢
日本大学理工学部 広報誌 理工サーキュラー 私の研究歴 vol.36, 2019, 180号
Sep 2017   数学セミナー 論説記事
「数論と解析学」〜不定方程式と解析学
Jul 2013   数学セミナー 論説記事
「素朴で奥深い整数の世界」〜ディオファントス近似
Apr 2009   数学セミナー 論説記事
「数学の道しるべ」連載第7回
Jan 2008   数学セミナー 論説記事
「有理数からディオファントス幾何へ」〜無理数を有理数で近似する