OKAZAKI Ryutaro 岡崎龍太郎

Researcher Number	20268113
Other IDs
Affiliation (based on the past Project Information) *help	2008: Doshisha University, 理工学部, 准教授 1997 – 2008: 同志社大学, 工学部, 専任講師 2007: Doshisha University, 工学部, 准教授 2006: 同志社大学, 工学部, 助教授 2002: 同志社大学, 工学部, 講師 1998: 同志社大学, 工学部, 講師
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator Algebra / Algebra / 広領域 / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator 同時ペル方程式 / 不定方程式 / Diophantine Equation / Simultaneous Pell Equation / 同時ベル方程式 / Theu Equation / 代数的数体 / 単数群 / 代数的数体の単数 / 複2次体 / 相対累数 / 類群 / 単項化 … More Except Principal Investigator … More 剰余位数 / 剰余指数 / 原始根に関するArtin予想 / 原始根に関するArtinの予想 / 可積分系 / BCH-Goppa復号法 / アルゴリズム / TNT / 原始根 / Code理論 / 剩余位数 / Gray Code / Sum of digits関数 / BCH-Goppa復合法 / modified KdV方程式 / 連分数展開 / 連分散展開 / タウ関数 / BCH-Goppa複号法 / 戸田分子方程式 / QDアルゴリズム / Discrete-Time Integrable Systems / Algorithms / BCH-Goppa Decoding / Continued Fraction Expansion / Orthogonal Polynomials / 整数論 / コンピュータ / ソフト / データ / ネットワーク / メイリングリスト / number theory / computer / algorithm / software / database / network / mailing list / 離散時間可積分系 / 連分数 / パデ近似 / パンルヴェ方程式 / ラプラス変換 / 応用可積分系 / 離散可積分系 / Laplace変数 / 組合せ論的数 / Laplace変換 / 直交多項式 / Painleve方程式 / 相対論戸田方程式 / 直交多頂式 / discrete integrable systems / continued fractions / Pade approximation / Painleve equations / Laplace transform / applied integrable systems / 余剰位数 / 余剰指数 / 指標和の評価 / residual order / resudual index / Artin's Conjecture on primitive roots / estimate of character sums Less

On the distribution of the residual order/index of the residual class a(mod n) in the residual group with composite moduli.
- Principal Investigator
  
  MURATA Leo
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji Gakuin University
Structure of relative class groups of CM-fields and class number one problemPrincipal Investigator
- Principal Investigator
  
  岡崎龍太郎
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Doshisha University
Diophantine Equationの解の間隙原理への連続的方法の応用Principal Investigator
- Principal Investigator
  
  岡崎龍太郎
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Doshisha University
Analytic study on distribution properties of the residual order and residual index, and on the relation between the distribution and estimates on character sums
- Principal Investigator
  
  MURATA Leo
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji Gakuin University
Continued fraction expansions in terms of discrete integrable systems and their applications to systems identifications and the BCH-Goppa decoding
- Principal Investigator
  
  NAKAMURA Yoshimasa
- Project Period (FY)
  2000 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KYOTO UNIVERSITY
  Osaka University
Data Computation and Software Development in Number Theory by Computers
- Principal Investigator
  
  NAKAMULA Ken
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
Design of BCH-Goppa Decoding Algorithms in Terms of the Tau-functions over Finite Fields
- Principal Investigator
  
  NAKAMURA Yoshimasa
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  広領域
- Research Institution
  Osaka University

All 2009 2008 2006 2004

All Journal Article Presentation

[Journal Article] On the number of solutions of simultaneous pell equations II2006
- Author(s)
  M.L.Bennett, M.Cipu, M.Misartti, R.Okazaki
- Journal Title
  
  Acta Arithmetica 122
  
  Pages: 407-417
- Data Source
  KAKENHI-PROJECT-17540048
[Journal Article] On the number of solutions of simultaneous Pell equations II2006
- Author(s)
  M. A. Bennett, M. Cipu, M. Mignotte, R. Okazaki
- Journal Title
  
  Acta Arithmeticae 122
  
  Pages: 407-417
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540048
[Journal Article] Class number one problem in non-normal sextic CM-fields2004
- Author(s)
  Ryotaro Okazaki
- Journal Title
  
  Proceedings of the 2003 Nagoya Conference "Yokoi-Chowla Conjecture and Related Problems"
  
  Pages: 101-104
- Data Source
  KAKENHI-PROJECT-14740030
[Presentation] Sizes of relative units of the real abelian number fields of 2-power conduc tors2009
- Author(s)
  岡崎龍太郎
- Organizer
  早稲田大学整数論研究集会2009
- Place of Presentation
  東京都新宿区早稲田大学
- Year and Date
  2009-03-09
- Data Source
  KAKENHI-PROJECT-17540048
[Presentation] Estimating the number of solutions to the simultaneous Pell Equations of indefinite signature2009
- Author(s)
  岡崎龍太郎
- Organizer
  Number Theory in Saga
- Place of Presentation
  佐賀県佐賀市佐賀大学理工学部数理科学科
- Year and Date
  2009-01-06
- Data Source
  KAKENHI-PROJECT-17540048
[Presentation] Sizes of relative units of the real abelian number fields of 2-power conductors2009
- Author(s)
  岡崎龍太郎
- Organizer
  早稲田大学整数論研究集会2009
- Place of Presentation
  東京都新宿区早稲田大学
- Year and Date
  2009-03-09
- Data Source
  KAKENHI-PROJECT-17540048
[Presentation] Toward a sharp estimate on the number of solutions to the simultaneous Pell Equations2009
- Author(s)
  岡崎龍太郎
- Organizer
  Diophantine Analysis and Related Fields 2009
- Place of Presentation
  東京都文京区日本大学理工学部
- Year and Date
  2009-03-02
- Data Source
  KAKENHI-PROJECT-17540048
[Presentation] Toward a sharp estimate on the number of solutions to the simultaneous Pell Eauations2009
- Author(s)
  岡崎龍太郎
- Organizer
  Diophant ine Analys is and Related Fields 2009
- Place of Presentation
  東京都文京区日本大学理工学部
- Year and Date
  2009-03-02
- Data Source
  KAKENHI-PROJECT-17540048
[Presentation] On Initial Gap Principle of a Generalized Class of Simultaneous Pell Equations2008
- Author(s)
  R. Okazaki
- Organizer
  International Conference in Number Theory
- Place of Presentation
  Siauliai, Lithuania
- Year and Date
  2008-08-15
- Data Source
  KAKENHI-PROJECT-17540048

1. MURATA Leo (30157789)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. KITAOKA Yoshiyuki (40022686)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. NAKAMURA Yoshimasa (50172458)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. IMAI Jun

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. SHIROTA Norihisa

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. HIROTA Ryogo (00066599)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. NAKAMULA Ken (80110849)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. KURIHARA Masato (40211221)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. NAKAMURA Hiroaki (60217883)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. MIYAKE Katsuya (20023632)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. KURATA Toshihiko (40311899)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. MIYAZAKI Takuya (10301409)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. NAKAYAMA Isao (80164359)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. KONDO Koichi (30314397)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. 知念宏司 (30419486)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. 高橋大輔 (50188025)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 川崎健 (40301410)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. 寺尾宏明 (90119058)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

OKAZAKI Ryutaro 岡崎 龍太郎

Research Projects

Research Products

Co-Researchers

On the distribution of the residual order/index of the residual class a(mod n) in the residual group with composite moduli.

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Structure of relative class groups of CM-fields and class number one problemPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Diophantine Equationの解の間隙原理への連続的方法の応用Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Analytic study on distribution properties of the residual order and residual index, and on the relation between the distribution and estimates on character sums

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Continued fraction expansions in terms of discrete integrable systems and their applications to systems identifications and the BCH-Goppa decoding

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Data Computation and Software Development in Number Theory by Computers

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Design of BCH-Goppa Decoding Algorithms in Terms of the Tau-functions over Finite Fields

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] On the number of solutions of simultaneous pell equations II2006

Author(s)

Journal Title

Data Source

[Journal Article] On the number of solutions of simultaneous Pell equations II2006

Author(s)

Journal Title

Data Source

[Journal Article] Class number one problem in non-normal sextic CM-fields2004

Author(s)

Journal Title

Data Source

[Presentation] Sizes of relative units of the real abelian number fields of 2-power conduc tors2009

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] Estimating the number of solutions to the simultaneous Pell Equations of indefinite signature2009

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] Sizes of relative units of the real abelian number fields of 2-power conductors2009

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] Toward a sharp estimate on the number of solutions to the simultaneous Pell Equations2009

Author(s)

Organizer

Place of Presentation

OKAZAKI Ryutaro 岡崎龍太郎