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Aoki Miho  青木 美穂

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… 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
  • Research Projects

    (5 results)
  • Research Products

    (41 results)
  • Co-Researchers

    (13 People)
  •  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

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