TAKEDA Wataru 武田渉

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武田渉タケダワタル

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Researcher Number	20897326
Other IDs
Affiliation (Current)	2025: 東邦大学, 理学部, 講師
Affiliation (based on the past Project Information) *help	2022 – 2023: 東京理科大学, 理学部第一部応用数学科, 助教
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related
Keywords	Principal Investigator Manin予想 / 素数表現関数 / Pieri公式 / Schur多重ゼータ関数 / 代数的独立性 / 超越数 / 素数表現定数 / Suranyi-Hickerson予想 / Desnanot-Jacobi公式 / Plucker関係式 … More / Schur多重ゼータ値 / Ramanujan-Nagell方程式 / 素イデアル分布 / Brocard-Ramanujan問題 Less

A study on Diophantine problems via combinatorial methodsPrincipal Investigator
- Principal Investigator
  
  武田渉
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Tokyo University of Science

All 2024 2023 2022

All Journal Article Presentation

[Journal Article] Transcendence of values of the iterated exponential function at algebraic points2023
- Author(s)
  Hirotaka Kobayashi、 Kota Saito、Takeda Wataru
- Journal Title
  
  Journal of Integer Sequences
  
  Volume: 26
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K13900
[Journal Article] Existence of the solutions to the Brocard?Ramanujan problem for norm forms2023
- Author(s)
  Takeda Wataru
- Journal Title
  
  Proceedings of the American Mathematical Society, Series B
  
  Volume: 10 Issue: 35 Pages: 413-421
- DOI
  10.1090/bproc/181
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K13900
[Journal Article] Algebraic independence and Linear independence of sets of prime-representing constants2023
- Author(s)
  Takeda Wataru
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2259 Pages: 133-139
- Open Access
- Data Source
  KAKENHI-PROJECT-22K13900
[Journal Article] On the Bhargava factorial of polynomial maps2023
- Author(s)
  Takeda Wataru
- Journal Title
  
  Communications in Algebra
  
  Volume: 51 Issue: 7 Pages: 3124-3133
- DOI
  10.1080/00927872.2023.2178655
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K13900
[Journal Article] Hook型Schur多重ゼータ値のShuffle積公式2023
- Author(s)
  Wataru Takeda
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2238 Pages: 26-38
- Open Access
- Data Source
  KAKENHI-PROJECT-22K13900
[Journal Article] Topological properties and algebraic independence of sets of prime‐representing constants2022
- Author(s)
  Saito Kota、Takeda Wataru
- Journal Title
  
  Mathematika
  
  Volume: 68 Issue: 2 Pages: 429-453
- DOI
  10.1112/mtk.12142
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K13900, KAKENHI-PROJECT-22KJ0375
[Journal Article] Schur多重ゼータ関数のPieri公式2022
- Author(s)
  Wataru Takeda
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2222 Pages: 93-106
- Open Access
- Data Source
  KAKENHI-PROJECT-22K13900
[Journal Article] The Pieri formulas for hook type Schur multiple zeta functions2022
- Author(s)
  Maki Nakasuji, Wataru Takeda
- Journal Title
  
  Journal of Combinatorial Theory, Series A
  
  Volume: 191 Pages: 105642-105642
- DOI
  10.1016/j.jcta.2022.105642
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03253, KAKENHI-PROJECT-22K13900
[Presentation] Multiplicative Titchmarsh divisor problem for the [x/n]-sequence2024
- Author(s)
  Wataru Takeda
- Organizer
  Diophantine Analysis and Related Fields
- Data Source
  KAKENHI-PROJECT-22K13900
[Presentation] Quadratic relations for 9th variation Schur functions involving Plucker relations2023
- Author(s)
  Wataru Takeda
- Organizer
  日本数学会2023年度年会
- Data Source
  KAKENHI-PROJECT-22K13900
[Presentation] 高次の Ramanujan-Nagell 型方程式について2023
- Author(s)
  武田渉
- Organizer
  2023大分宮崎整数論研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-22K13900
[Presentation] Existence of the solutions to the Brocard-Ramanujan problem for norm forms2023
- Author(s)
  Wataru Takeda
- Organizer
  Journees Arithmetiques XXXII
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13900
[Presentation] Sum formula for the Schur P/Q multiple zeta functions2023
- Author(s)
  Wataru Takeda
- Organizer
  第5回青葉山ゼータ研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-22K13900
[Presentation] 階乗積が他の階乗積と等しくなるような組について2023
- Author(s)
  Wataru Takeda
- Organizer
  第2回大分数論研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-22K13900
[Presentation] Brocard-Ramanujan problem for norm forms over radical fields2023
- Author(s)
  Wataru Takeda
- Organizer
  Analytic Number Theory and Related Topics
- Data Source
  KAKENHI-PROJECT-22K13900
[Presentation] Norm形式に対するBrocard-Ramanujan問題の解の存在性2023
- Author(s)
  武田渉
- Organizer
  日本数学会2023年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-22K13900
[Presentation] Schur多重ゼータ値の一般化双対公式の複素補間2022
- Author(s)
  Wataru Takeda
- Organizer
  日本数学会2022年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-22K13900
[Presentation] Shuffle type product formula of the Schur multiple zeta values of hook type2022
- Author(s)
  Wataru Takeda
- Organizer
  多重ゼータ値の諸相
- Invited
- Data Source
  KAKENHI-PROJECT-22K13900
[Presentation] Topological properties and algebraic independence of sets of prime-representing constants2022
- Author(s)
  Wataru Takeda
- Organizer
  Analytic Number Theory and Related Topics
- Data Source
  KAKENHI-PROJECT-22K13900
[Presentation] Schur Q多重ゼータ関数のPfaffian表示2022
- Author(s)
  Wataru Takeda
- Organizer
  日本数学会2022年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-22K13900
[Presentation] Pieri formula for 10th variation Schur function2022
- Author(s)
  Wataru Takeda
- Organizer
  神楽坂代数セミナー
- Data Source
  KAKENHI-PROJECT-22K13900

1. 中筋麻貴

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

TAKEDA Wataru 武田 渉

武田 渉 タケダ ワタル

Research Projects

Research Products

Co-Researchers

A study on Diophantine problems via combinatorial methodsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Transcendence of values of the iterated exponential function at algebraic points2023

Author(s)

Journal Title

Data Source

[Journal Article] Existence of the solutions to the Brocard?Ramanujan problem for norm forms2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Algebraic independence and Linear independence of sets of prime-representing constants2023

Author(s)

Journal Title

Data Source

[Journal Article] On the Bhargava factorial of polynomial maps2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Hook型Schur多重ゼータ値のShuffle積公式2023

Author(s)

Journal Title

Data Source

[Journal Article] Topological properties and algebraic independence of sets of prime‐representing constants2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Schur多重ゼータ関数のPieri公式2022

Author(s)

Journal Title

Data Source

[Journal Article] The Pieri formulas for hook type Schur multiple zeta functions2022

Author(s)

Journal Title

DOI

Data Source

[Presentation] Multiplicative Titchmarsh divisor problem for the [x/n]-sequence2024

Author(s)

Organizer

Data Source

[Presentation] Quadratic relations for 9th variation Schur functions involving Plucker relations2023

Author(s)

Organizer

Data Source

[Presentation] 高次の Ramanujan-Nagell 型方程式について2023

Author(s)

Organizer

Data Source

[Presentation] Existence of the solutions to the Brocard-Ramanujan problem for norm forms2023

Author(s)

Organizer

Data Source

[Presentation] Sum formula for the Schur P/Q multiple zeta functions2023

Author(s)

Organizer

Data Source

[Presentation] 階乗積が他の階乗積と等しくなるような組について2023

Author(s)

Organizer

Data Source

[Presentation] Brocard-Ramanujan problem for norm forms over radical fields2023

Author(s)

Organizer

Data Source

[Presentation] Norm形式に対するBrocard-Ramanujan問題の解の存在性2023

Author(s)

Organizer

Data Source

[Presentation] Schur多重ゼータ値の一般化双対公式の複素補間2022

TAKEDA Wataru 武田渉

武田渉タケダワタル