Aoki Miho 青木美穂

… Alternative Names

青木美穂アオキミホ

AOKI Miho 青木美穂

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Researcher Number	10381451
Affiliation (Current)	2025: 島根大学, 学術研究院理工学系, 教授
Affiliation (based on the past Project Information) *help	2021 – 2024: 島根大学, 学術研究院理工学系, 教授 2016 – 2017: 島根大学, 総合理工学研究科, 准教授 2014 – 2015: 島根大学, 総合理工学研究科(研究院), 准教授 2010: Okayama University of Science, 総合理工学部, 准教授 2007 – 2009: Okayama University of Science, 理学部, 講師
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Basic Section 12010:Basic analysis-related / Algebra
Keywords	Principal Investigator 岩澤理論 / Coates-Sinnott予想 / 代数的K群 / イデアル類群 / 新谷のゼータ関数 / デデキントゼータ関数 / 総実代数体 / 計算数論 / チェビシェフの偏り / 代数的不変量 … More / アルティンのL関数 / 代数体の整数環 / 計算アルゴリズム / L関数の特殊値 / 生成多項式 / ガウス周期 / 正規整基底 / 整基底 / 高次Stickelberger 元 / Fittingイデアル / CM体 / Coates-Sinｎott予想 / 単数群 / 岩澤加群 / 数論 / Stickelberger元 / 部分ゼータ関数 / Brumer予想 / 楕円単数 / 円単数 / ガウス和 … More Except Principal Investigator タイヒミュラー・モジュラー群 / 有理点 / p進L関数 / 楕円曲線 / Stickelberger元 / Euler系 / ドイツ:韓国 / 国際研究者交流 / Kolyvagin系 / Fittingイデアル / 岩澤主予想 / 岩澤理論 / 整数論 Less

Rational Representation of Teichmuller Modular Group and Its Applications to Discrete Groups
- Principal Investigator
  
  中西敏浩
- Project Period (FY)
  2024 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Shimane University
総実代数体上のアーベル拡大の不変量に関する総合的研究Principal Investigator
- Principal Investigator
  
  青木美穂
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Shimane University
A study on K groups of the ring of integers of number fieldsPrincipal Investigator
- Principal Investigator
  
  Aoki Miho
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Shimane University
Iwasawa theory for abelian extensions over imaginary quadratic fields and elliptic unitsPrincipal Investigator
- Principal Investigator
  
  AOKI Miho
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Okayama University of Science
Refined Iwasawa theory and the zeta functions
- Principal Investigator
  
  KURIHARA Masato
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Keio University

All 2024 2023 2022 2017 2016 2015 2014 2010 2009 2008 2007

All Journal Article Presentation

[Journal Article] Normal integral bases of Lehmer's cyclic quintic fields2024
- Author(s)
  Yu Hashimoto, Miho Aoki
- Journal Title
  
  The Ramanujan Journal
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03181
[Journal Article] Chebyshev's bias against splitting and principal primes in global fields2023
- Author(s)
  Aoki Miho, Koyama Shin-ya
- Journal Title
  
  Journal of Number Theory
  
  Volume: 245 Pages: 233-262
- DOI
  10.1016/j.jnt.2022.10.005
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03181
[Journal Article] Normal integral bases and Gaussian periods in the simplest cubic fields2022
- Author(s)
  Hashimoto Yu, Aoki Miho
- Journal Title
  
  Annales mathematiques du Quebec
  
  Volume: - Issue: 1 Pages: 157-173
- DOI
  10.1007/s40316-022-00204-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03181
[Journal Article] Mod p equivalence classes of linear recurrence sequences of degree 22017
- Author(s)
  Miho Aoki, Yuho Sakai
- Journal Title
  
  Rocky Mountain Journal of Mathematics
  
  Volume: 47 Issue: 8
- DOI
  10.1216/rmj-2017-47-8-2513
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400015
[Journal Article] Mod p Equivalence Classes of Linear Recurrence Sequences of Degree Two2017
- Author(s)
  Miho Aoki, Yuho Sakai
- Journal Title
  
  Rocky Mountain Journal
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400015
[Journal Article] An infinite family of pairs of imaginary quadratic fields with both class numbers divisible by five2017
- Author(s)
  Miho Aoki, Yasuhiro Kishi
- Journal Title
  
  Journal of Number Theory
  
  Volume: 176 Pages: 333-343
- DOI
  10.1016/j.jnt.2016.12.007
- NAID
  120006706219
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26400015, KAKENHI-PROJECT-15K04779
[Journal Article] 一般 Lucas sequence の可除性と Laxton 群2016
- Author(s)
  青木美穂
- Journal Title
  
  第9回数論女性の集まり報告集
  
  Volume: 9
- Data Source
  KAKENHI-PROJECT-26400015
[Journal Article] On Equivalence Classes of Generalized Fibonacci sequences2016
- Author(s)
  青木美穂, 酒井悠帆
- Journal Title
  
  Journal of Integer Sequences
  
  Volume: 19
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400015
[Journal Article] On systems of fundamental units of certain quartic fields2015
- Author(s)
  M. Aoki and Y. Kishi
- Journal Title
  
  Int. J. Number Theory
  
  Volume: 11 Issue: 07 Pages: 2019-2035
- DOI
  10.1142/s1793042115500864
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04779, KAKENHI-PROJECT-26400015
[Journal Article] On divisibility of generalized Fibonacci numbers2015
- Author(s)
  青木美穂, 酒井悠帆
- Journal Title
  
  Integers
  
  Volume: 15
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400015
[Journal Article] A note on the Coates-Sinnott conjecture2009
- Author(s)
  青木美穂
- Journal Title
  
  Bulletin of the London Mathematical Society 41
  
  Pages: 613-620
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740020
[Journal Article] A note on the Coates-Sinnott conjecture2009
- Author(s)
  Miho Aoki
- Journal Title
  
  Bulletin of the London Mathematical Society 41
  
  Pages: 613-620
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740020
[Journal Article] On some exact sequences in the theory of cyclotomic fields2008
- Author(s)
  Miho Aoki
- Journal Title
  
  ournal of Algebra 320
  
  Pages: 4156-4177
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740020
[Journal Article] On some exact sequences in the theory of cyclotomic fields2008
- Author(s)
  青木美穂
- Journal Title
  
  Journal of Algebra 320
  
  Pages: 4156-4177
- Data Source
  KAKENHI-PROJECT-19740020
[Journal Article] On some exact sequences in the theory of cyclotomic fields2008
- Author(s)
  Miho Aoki
- Journal Title
  
  Journal of Algebra 320
  
  Pages: 4156-4177
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740020
[Journal Article] CM体上の円分Z_p拡大と高次K群について2007
- Author(s)
  青木美穂
- Journal Title
  
  第2回福岡数論研究集会報告集
  
  Pages: 67-78
- Data Source
  KAKENHI-PROJECT-19740020
[Journal Article] CM体上の円分Z_p拡大と高次K群について2007
- Author(s)
  青木美穂
- Journal Title
  
  第2回福岡数論研究集会報告集 1
  
  Pages: 67-78
- Data Source
  KAKENHI-PROJECT-19740020
[Presentation] 3次巡回体の整数環のガロア加群構造について2023
- Author(s)
  青木　美穂
- Organizer
  新潟代数セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K03181
[Presentation] 大域体における素イデアルの偏りについて2022
- Author(s)
  青木　美穂
- Organizer
  東北大学整数論セミナー, 東北大学
- Invited
- Data Source
  KAKENHI-PROJECT-21K03181
[Presentation] 素数次巡回拡大体の正規整基底2022
- Author(s)
  青木　美穂
- Organizer
  第14回福岡数論研究集会, 九州大学
- Invited
- Data Source
  KAKENHI-PROJECT-21K03181
[Presentation] 素数次巡回拡大体におけるガウス周期と正規整基底2022
- Author(s)
  青木　美穂
- Organizer
  三角函数研究会, 神戸大学
- Invited
- Data Source
  KAKENHI-PROJECT-21K03181
[Presentation] Bias of primes in global fields2022
- Author(s)
  青木　美穂
- Organizer
  第15回ゼータ若手研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-21K03181
[Presentation] Laxton群の構造と2次体の整数論について2017
- Author(s)
  青木美穂
- Organizer
  半田山・幾何・代数セミナー
- Place of Presentation
  岡山理科大学
- Year and Date
  2017-02-22
- Data Source
  KAKENHI-PROJECT-26400015
[Presentation] アーベル数体の組の類数の可除性について2017
- Author(s)
  青木美穂
- Organizer
  神楽坂代数セミナー
- Place of Presentation
  東京理科大学大学院理学研究科
- Year and Date
  2017-01-12
- Data Source
  KAKENHI-PROJECT-26400015
[Presentation] A family of pairs of imaginary cyclic fields with both class numbers divisible by p2017
- Author(s)
  Miho Aoki
- Organizer
  School of Mathematics and Statistics 談話会, 武漢大学 (中国)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400015
[Presentation] On equivalence classes of generalized Fibonacci sequences associated to units of real quadratic fields2016
- Author(s)
  青木美穂
- Organizer
  International Conference on Diophantine Analysis and Related Topics
- Place of Presentation
  Wuhan University(中国)
- Year and Date
  2016-03-11
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400015
[Presentation] 一般Lucas sequence の可除性とLaxton群2016
- Author(s)
  青木美穂
- Organizer
  第9回数論女性の集まり
- Place of Presentation
  上智大学
- Year and Date
  2016-05-21
- Data Source
  KAKENHI-PROJECT-26400015
[Presentation] 類数が５で割れる虚２次体のペアの無限族について2016
- Author(s)
  岸康弘, 青木美穂
- Organizer
  日本数学会中国・四国支部例会
- Place of Presentation
  広島大学
- Year and Date
  2016-01-24
- Data Source
  KAKENHI-PROJECT-26400015
[Presentation] An infinite family of pairs of abelian number fields with both class numbers divisible by p2016
- Author(s)
  Miho Aoki, Yasuhiro Kishi
- Organizer
  KICM 2016, International Conference on Mathematics, Number Theory, Graph Theory and
- Place of Presentation
  King Mongkut's Institute of Technology Ladkrabang, バンコク（タイ）
- Year and Date
  2016-12-22
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400015
[Presentation] Mod p equivalence classes of linear recurrences of degree two2016
- Author(s)
  Miho Aoki, Yuho Sakai
- Organizer
  17th International Conference on Fibonacci Numbers and Their Applications
- Place of Presentation
  University of Caen, カン(フランス)
- Year and Date
  2016-06-28
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400015
[Presentation] 虚二次体の組の類数の可除性について2016
- Author(s)
  青木美穂
- Organizer
  新潟代数セミナー
- Place of Presentation
  新潟大学大学院自然科学研究科
- Year and Date
  2016-06-21
- Data Source
  KAKENHI-PROJECT-26400015
[Presentation] 一般Lucas sequencesの素数における可除性とLaxton群について2016
- Author(s)
  青木美穂, 酒井悠帆
- Organizer
  日本フィボナッチ協会第14回研究集会
- Place of Presentation
  東京理科大学
- Year and Date
  2016-08-26
- Data Source
  KAKENHI-PROJECT-26400015
[Presentation] Systems of fundamental units of quartic fields and imaginary quadratic fields with class number2015
- Author(s)
  青木美穂, 岸康弘
- Organizer
  29th Journees Arithmetiques
- Place of Presentation
  University of Debrecen (ハンガリー）
- Year and Date
  2015-07-09
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400015
[Presentation] 代数体の整数環のK群のannihilatorについて2015
- Author(s)
  青木美穂
- Organizer
  2015大分整数論研究集会
- Place of Presentation
  ホルトホール大分
- Year and Date
  2015-09-02
- Invited
- Data Source
  KAKENHI-PROJECT-26400015
[Presentation] ある4次多項式と基本単数系2015
- Author(s)
  青木美穂, 岸康弘
- Organizer
  日本数学会中国・四国支部例会
- Place of Presentation
  徳島大学
- Year and Date
  2015-01-25
- Data Source
  KAKENHI-PROJECT-26400015
[Presentation] 一般フィボナッチ数列の素数における可除性に関する諸結果2015
- Author(s)
  酒井悠帆, 青木美穂
- Organizer
  日本フィボナッチ協会第13回研究集会
- Place of Presentation
  東京理科大学
- Year and Date
  2015-08-21
- Data Source
  KAKENHI-PROJECT-26400015
[Presentation] ある4次多項式と基本単数系2014
- Author(s)
  青木美穂, 岸康弘
- Organizer
  第9回福岡数論研究集会
- Place of Presentation
  立命館アジア太平洋大学
- Year and Date
  2014-09-04
- Data Source
  KAKENHI-PROJECT-26400015
[Presentation] Brumer予想とCoates-Sinnott予想について2010
- Author(s)
  青木美穂
- Organizer
  談話会
- Place of Presentation
  岡山大学
- Year and Date
  2010-11-08
- Data Source
  KAKENHI-PROJECT-19740020
[Presentation] K-groups of rings of algebraic integers and Iwasawa theory2009
- Author(s)
  青木美穂
- Organizer
  岩澤理論ミニ勉強会
- Place of Presentation
  京都大学
- Year and Date
  2009-04-02
- Data Source
  KAKENHI-PROJECT-19740020
[Presentation] K-groups of rings of algebraic integers and Iwasawa theory2009
- Author(s)
  青木美穂
- Organizer
  岩澤理ミニ勉強会
- Place of Presentation
  京都大学
- Year and Date
  2009-04-02
- Data Source
  KAKENHI-PROJECT-19740020
[Presentation] CM体上の円分Z_p拡大と高次K群について2007
- Author(s)
  青木美穂
- Organizer
  第2回福岡数論研究集会
- Place of Presentation
  九州大学
- Year and Date
  2007-08-29
- Data Source
  KAKENHI-PROJECT-19740020

1. MATSUNO Kazuo (40332936)

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. OTA Katsuhiro (40213722)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. TANAKA Takaaki (60306850)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. SHIOKAWA Iekata (00015835)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. BANNAI Kenichi (90343201)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. HACHIMORI Yoshitaka (50433743)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. 藤井俊 (20386618)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. 落合理 (90372606)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. 加藤和也 (90111450)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 中西敏浩 (00172354)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. KISHI Yasuhiro

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Aoki Miho 青木 美穂

青木 美穂 アオキ ミホ

AOKI Miho 青木 美穂

Research Projects

Research Products

Co-Researchers

Rational Representation of Teichmuller Modular Group and Its Applications to Discrete Groups

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

総実代数体上のアーベル拡大の不変量に関する総合的研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

A study on K groups of the ring of integers of number fieldsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Iwasawa theory for abelian extensions over imaginary quadratic fields and elliptic unitsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Refined Iwasawa theory and the zeta functions

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Normal integral bases of Lehmer's cyclic quintic fields2024

Author(s)

Journal Title

Data Source

[Journal Article] Chebyshev's bias against splitting and principal primes in global fields2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Normal integral bases and Gaussian periods in the simplest cubic fields2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Mod p equivalence classes of linear recurrence sequences of degree 22017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Mod p Equivalence Classes of Linear Recurrence Sequences of Degree Two2017

Author(s)

Journal Title

Data Source

[Journal Article] An infinite family of pairs of imaginary quadratic fields with both class numbers divisible by five2017

Author(s)

Journal Title

DOI

NAID

Data Source

[Journal Article] 一般 Lucas sequence の可除性と Laxton 群2016

Author(s)

Journal Title

Data Source

[Journal Article] On Equivalence Classes of Generalized Fibonacci sequences2016

Author(s)

Journal Title

Data Source

[Journal Article] On systems of fundamental units of certain quartic fields2015

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On divisibility of generalized Fibonacci numbers2015

Author(s)

Aoki Miho 青木美穂

青木美穂アオキミホ

AOKI Miho 青木美穂