Kitayama Hidetaka 北山秀隆

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KITAYAMA Hidetaka 北山秀隆

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Researcher Number	20622567
Other IDs
Affiliation (Current)	2022: 和歌山大学, 教育学部, 准教授
Affiliation (based on the past Project Information) *help	2016 – 2021: 和歌山大学, 教育学部, 准教授 2012 – 2015: 和歌山大学, 教育学部, 講師
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra
Keywords	Principal Investigator 整数論 / 有理性問題 / Noether問題 / ガロアの逆問題 / ネーター問題 / 保型形式 / 次元公式 / 不変体有理性問題 / Galoisの逆問題 / 代数学 / Noether 問題 … More Except Principal Investigator … More ジーゲル保型形式 / ヤコービ保型形式 / テータ関数 / ゲーゲンバウア関数 / 微分作用素 / ホロノミー系 / ゼータ関数 / コンパクト実形 / 概均質ベクトル空間 / ヤコービ形式 / 跡公式 / 特殊関数論 / ２次形式 / 保型的微分作用素 / 保型形式の合同 / 超特異アーベル多様体 / ４元数的エルミート形式 / L 関数 / アーベル多様体 / 整数論 / 保型形式 / 代数学 / Ｌ関数 / 特殊値 / 特殊関数 / リフティング / 種の理論 Less

ガロアの逆問題を背景とするネーターの有理性問題の数論的研究Principal Investigator
- Principal Investigator
  
  北山秀隆
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Wakayama University
A study of the rationality problem from the viewpoint of the inverse Galois problemPrincipal Investigator
- Principal Investigator
  
  Kitayama Hidetaka
- Project Period (FY)
  2015 – 2019
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Wakayama University
Explicit study of number theory of automorphic forms of several variables related to trace formulas.
- Principal Investigator
  
  Ibukiyama Tomoyoshi
- Project Period (FY)
  2013 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
A study on correspondences of automorphic forms by using comparison of explicit dimension formulasPrincipal Investigator
- Principal Investigator
  
  KITAYAMA Hidetaka
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Wakayama University

All 2021 2020 2018 2017 2016 2015 2014 2013 2012 Other

All Journal Article Presentation

[Journal Article] A two-dimensional rationality problem and intersections of two quadrics2021
- Author(s)
  Akinari Hoshi, Ming-Chang Kang, Hidetaka Kitayama, Aiichi Yamasaki
- Journal Title
  
  Manuscripta Mathematica
  
  Volume: -
- DOI
  10.1007/s00229-021-01313-7
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03418, KAKENHI-PROJECT-19K03447
[Journal Article] Jesmanowicz' conjecture for non-primitive Pythagorean triples2021
- Author(s)
  Hidetaka Kitayama, Hiroyuki Tagawa, Keiichi Urahashi
- Journal Title
  
  Periodica Mathematica Hungarica
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03447
[Journal Article] Three-dimensional purely quasimonomial actions2020
- Author(s)
  Akinari Hoshi, Hidetaka Kitayama
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 60 Pages: 335-377
- DOI
  10.1215/21562261-2019-0008
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15K17511, KAKENHI-PROJECT-19K03418, KAKENHI-PROJECT-19K03447
[Journal Article] Three-dimensional purely quasi-monomial actions2018
- Author(s)
  Akinari Hoshi, Hidetaka Kitayama
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K17511
[Journal Article] Dimension formulas of paramodular forms of squarefree level and comparison with inner twist2017
- Author(s)
  Tomoyoshi Ibukiyama, Hidetaka Kitayama
- Journal Title
  
  J. Math. Soc. Japan
  
  Volume: 69 Issue: 2 Pages: 597-671
- DOI
  10.2969/jmsj/06920597
- NAID
  130006887130
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-15K17511, KAKENHI-PROJECT-25247001
[Journal Article] On the irreducibility of Fibonacci and Lucas polynomials over finite fields2017
- Author(s)
  Hidetaka Kitayama, Daisuke Shiomi
- Journal Title
  
  Finite Fields and Their Applications
  
  Volume: 48C Pages: 420-429
- DOI
  10.1016/j.ffa.2017.09.003
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K17511, KAKENHI-PROJECT-25247001
[Journal Article] Dimension formulas of paramodular forms of squarefree level and comparison with inner twist2016
- Author(s)
  Tomoyoshi Ibukiyama, Hidetaka Kitayama
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 未定
- NAID
  130006887130
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K17511
[Journal Article] Quasi-monomial actions and some 4-dimensional rationality problems2014
- Author(s)
  A. Hoshi, M. Kang and H. Kitayama
- Journal Title
  
  Journal of Algebra
  
  Volume: 403 Pages: 363-400
- DOI
  10.1016/j.jalgebra.2014.01.019
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25247001, KAKENHI-PROJECT-25400027
[Journal Article] On explicit dimension formulas for spaces of Siegel cusp forms of degree two and their applications2014
- Author(s)
  Hidetaka Kitayama
- Journal Title
  
  Automorphic Forms, Springer Proceedings in Mathematics & Statistics
  
  Volume: 115 Pages: 137-150
- DOI
  10.1007/978-3-319-11352-4_10
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25247001
[Journal Article] Quasi-monomial actions and some 4-dimensional rationality problems2014
- Author(s)
  Akinari Hoshi, Ming-chang Kang, Hidetaka Kitayama
- Journal Title
  
  Journal of algebra
  
  Volume: 403 Pages: 363-400
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25247001
[Journal Article] Quasi-monomial actions and some 4-dimensional rationality problems2014
- Author(s)
  A. Hoshi, M. Kang, and H. Kitayama
- Journal Title
  
  Journal of Algebra
  
  Volume: 403
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740014
[Journal Article] On explicit dimension formulas for spaces of Siegel cusp forms of degree two and their applications2013
- Author(s)
  Hidetaka Kitayama
- Journal Title
  
  New Developments in Modern Number Theory and Applied Mathematics
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740014
[Journal Article] Siegel paramodular cusp formsの明示的次元公式とその応用2012
- Author(s)
  北山秀隆
- Journal Title
  
  早稲田大学整数論研究集会２０１２報告集
  
  Volume: なし Pages: 42-52
- Data Source
  KAKENHI-PROJECT-24740014
[Presentation] 純単項作用の不変体有理性問題2018
- Author(s)
  北山秀隆
- Organizer
  早稲田整数論研究集会
- Data Source
  KAKENHI-PROJECT-15K17511
[Presentation] モジュラー形式とガロアの逆問題2018
- Author(s)
  北山秀隆
- Organizer
  第１７回北陸数論研究集会
- Data Source
  KAKENHI-PROJECT-15K17511
[Presentation] Rationality problem for purely monomial group actions2017
- Author(s)
  北山秀隆
- Organizer
  日本数学会秋季総合分科会、山形大学
- Data Source
  KAKENHI-PROJECT-25247001
[Presentation] Siegel modular forms with respect to non-split symplectic groups2017
- Author(s)
  北山秀隆
- Organizer
  3rd Japanese-German Number Theory Workshop、MPI bonn, Germany
- Invited
- Data Source
  KAKENHI-PROJECT-25247001
[Presentation] Noetherの不変体有理性問題とその周辺2017
- Author(s)
  北山秀隆
- Organizer
  大分熊本整数論研究集会、くまもと県民交流会館パレア
- Invited
- Data Source
  KAKENHI-PROJECT-25247001
[Presentation] Noetherの不変体有理性問題とその周辺2017
- Author(s)
  北山秀隆
- Organizer
  大分熊本整数論研究集会
- Data Source
  KAKENHI-PROJECT-15K17511
[Presentation] Siegel modular forms with respect to non-split symplectic groups2017
- Author(s)
  北山秀隆
- Organizer
  Journees Arithmetiques 2017
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17511
[Presentation] 純単項作用の不変体有理性問題2017
- Author(s)
  北山秀隆
- Organizer
  早稲田整数論研究集会、早稲田大学
- Invited
- Data Source
  KAKENHI-PROJECT-25247001
[Presentation] Siegel modular forms with respect to non-split symplectic groups2017
- Author(s)
  北山秀隆
- Organizer
  3rd Japanese-German Number Theory Workshop
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17511
[Presentation] 純単項作用の不変体有理性問題2017
- Author(s)
  北山秀隆
- Organizer
  新潟代数セミナー、新潟大学
- Invited
- Data Source
  KAKENHI-PROJECT-25247001
[Presentation] 純単項作用の不変体有理性問題2017
- Author(s)
  北山秀隆
- Organizer
  新潟代数セミナー
- Data Source
  KAKENHI-PROJECT-15K17511
[Presentation] 有限体上既約なFibonacci多項式とLucas多項式2017
- Author(s)
  北山秀隆、塩見大輔
- Organizer
  日本数学会2016年度年会
- Place of Presentation
  首都大学東京南大沢キャンパス
- Year and Date
  2017-03-24
- Data Source
  KAKENHI-PROJECT-25247001
[Presentation] Rationality problem for purely monomial group actions2017
- Author(s)
  北山秀隆
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-15K17511
[Presentation] Siegel modular forms with respect to non-split symplectic groups2017
- Author(s)
  北山秀隆
- Organizer
  Journees Arithmetiques, Caen Univ. France
- Data Source
  KAKENHI-PROJECT-25247001
[Presentation] Perfect powers in Fibonacci and Lucas polynomials over finite fields2016
- Author(s)
  Hidetaka Kitayama and Daisuke Shiomi
- Organizer
  17th International Conference on Fibonacci Numbers and Their Applications
- Place of Presentation
  Caen, France
- Year and Date
  2016-06-30
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25247001
[Presentation] Three-dimensional purely quasi-monomial actions2016
- Author(s)
  北山秀隆
- Organizer
  日本数学会2016年度年会
- Place of Presentation
  筑波大学（茨城県つくば市天王台１丁目１－１）
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-15K17511
[Presentation] Computations of Siegel modular forms with respect to non-split symplectic groups2015
- Author(s)
  北山秀隆
- Organizer
  RIMS研究集会「計算代数システムによる新しい数学の開拓と進展」
- Place of Presentation
  京都大学数理解析研究所（京都府京都市左京区北白川追分町）
- Year and Date
  2015-10-01
- Data Source
  KAKENHI-PROJECT-15K17511
[Presentation] あるジーゲルモジュラー形式の対応予想、およびリフティング予想とその数値実験2015
- Author(s)
  北山秀隆
- Organizer
  新潟代数セミナー
- Place of Presentation
  新潟大学（新潟県新潟市西区五十嵐２の町８０５０）
- Year and Date
  2015-07-17
- Data Source
  KAKENHI-PROJECT-15K17511
[Presentation] ガロアの逆問題を背景とする不変体有理性問題について2015
- Author(s)
  北山秀隆
- Organizer
  埼玉大学理学部数学教室談話会
- Place of Presentation
  埼玉大学（埼玉県さいたま市桜区下大久保255）
- Year and Date
  2015-05-22
- Data Source
  KAKENHI-PROJECT-15K17511
[Presentation] Rationality problem for purely monomial group actions2014
- Author(s)
  北山秀隆
- Organizer
  大阪大学整数論・保型形式セミナー
- Place of Presentation
  大阪大学（大阪府豊中市）
- Year and Date
  2014-11-28
- Invited
- Data Source
  KAKENHI-PROJECT-24740014
[Presentation] On Siegel modular forms with respect to non-split symplectic groups2014
- Author(s)
  Hidetaka Kitayama
- Organizer
  Explicit theory of automorphic forms
- Place of Presentation
  Tongji University
- Invited
- Data Source
  KAKENHI-PROJECT-24740014
[Presentation] Rationality problem for quasi-monomial group actions2014
- Author(s)
  Hidetaka Kitayama
- Organizer
  New Developments in Algebraic Geometry
- Place of Presentation
  国立台湾大学、台北 (台湾）
- Year and Date
  2014-09-05
- Invited
- Data Source
  KAKENHI-PROJECT-25247001
[Presentation] Rationality problem for purely monomial group actions2014
- Author(s)
  北山秀隆
- Organizer
  大阪大学整数論・保型形式セミナー
- Place of Presentation
  大阪大学（大阪府・豊中市)
- Year and Date
  2014-11-28
- Invited
- Data Source
  KAKENHI-PROJECT-25247001
[Presentation] ネーター問題入門2013
- Author(s)
  北山秀隆
- Organizer
  西早稲田数論セミナー「ネーター問題をめぐって」
- Place of Presentation
  早稲田大学
- Invited
- Data Source
  KAKENHI-PROJECT-24740014
[Presentation] The rationality problem for purely monomial group actions2013
- Author(s)
  北山秀隆
- Organizer
  早稲田整数論セミナー
- Place of Presentation
  早稲田大学
- Invited
- Data Source
  KAKENHI-PROJECT-24740014
[Presentation] Rationality problem for quasi-monomial actions2013
- Author(s)
  Hidetaka Kitayama
- Organizer
  One-day workshop of algebra
- Place of Presentation
  National Taiwan University
- Invited
- Data Source
  KAKENHI-PROJECT-24740014
[Presentation] Dimension formulas of paramodular forms of squarefree level and comparison with inner twist2012
- Author(s)
  Hidetaka Kitayama
- Organizer
  Workshop on Modular Frms
- Place of Presentation
  九州大学伊都キャンパス
- Invited
- Data Source
  KAKENHI-PROJECT-24740014
[Presentation] ネーター問題入門
- Author(s)
  北山秀隆
- Organizer
  西早稲田数論セミナー「ネーター問題をめぐって」
- Place of Presentation
  早稲田大学
- Invited
- Data Source
  KAKENHI-PROJECT-25247001
[Presentation] Rationality problem for quasi-monomial group actions
- Author(s)
  Hidetaka Kitayama
- Organizer
  New Developments in Algebraic Geometry
- Place of Presentation
  Taipei (Taiwan)
- Year and Date
  2014-09-01 – 2014-09-05
- Invited
- Data Source
  KAKENHI-PROJECT-24740014
[Presentation] Rationality problem for quasi-monomial actions
- Author(s)
  Hidetaka Kitayama
- Organizer
  One-day workshop of algebra
- Place of Presentation
  National Taiwan University (Taiwan）
- Invited
- Data Source
  KAKENHI-PROJECT-25247001
[Presentation] The rationality problem for purely monomial group actions
- Author(s)
  北山秀隆
- Organizer
  早稲田整数論セミナー
- Place of Presentation
  早稲田大学
- Invited
- Data Source
  KAKENHI-PROJECT-25247001
[Presentation] On Siegel modular forms with respect to non-split symplectic groups
- Author(s)
  Hidetaka Kitayama
- Organizer
  Explicit theory of automorphic forms
- Place of Presentation
  Tongji University, Shanghai, China
- Invited
- Data Source
  KAKENHI-PROJECT-25247001

1. Ibukiyama Tomoyoshi (60011722)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
2. Hayashida Shuichi (80597766)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. Watanabe Takao (30201198)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. Moriyama Tomonori (80384171)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. Ochiai Tadashi (90372606)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. Ikeda Tamotsu (20211716)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 若槻聡 (10432121)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 佐藤文広 (20120884)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. 桂田英典 (80133792)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. HOSHI Akinari

# of Collaborated Projects: 0 results

# of Collaborated Products: 3 results
11. 山崎愛一

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Kitayama Hidetaka 北山 秀隆

KITAYAMA Hidetaka 北山 秀隆

Research Projects

Research Products

Co-Researchers

ガロアの逆問題を背景とするネーターの有理性問題の数論的研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

A study of the rationality problem from the viewpoint of the inverse Galois problemPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Explicit study of number theory of automorphic forms of several variables related to trace formulas.

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A study on correspondences of automorphic forms by using comparison of explicit dimension formulasPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] A two-dimensional rationality problem and intersections of two quadrics2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Jesmanowicz' conjecture for non-primitive Pythagorean triples2021

Author(s)

Journal Title

Data Source

[Journal Article] Three-dimensional purely quasimonomial actions2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Three-dimensional purely quasi-monomial actions2018

Author(s)

Journal Title

Data Source

[Journal Article] Dimension formulas of paramodular forms of squarefree level and comparison with inner twist2017

Author(s)

Journal Title

DOI

NAID

ISSN

Language

Data Source

[Journal Article] On the irreducibility of Fibonacci and Lucas polynomials over finite fields2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Dimension formulas of paramodular forms of squarefree level and comparison with inner twist2016

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Quasi-monomial actions and some 4-dimensional rationality problems2014

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On explicit dimension formulas for spaces of Siegel cusp forms of degree two and their applications2014

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Quasi-monomial actions and some 4-dimensional rationality problems2014

Author(s)

Journal Title

Data Source

[Journal Article] Quasi-monomial actions and some 4-dimensional rationality problems2014

Kitayama Hidetaka 北山秀隆

KITAYAMA Hidetaka 北山秀隆