Tachiya Yohei 立谷洋平

Researcher Number	90439539
Other IDs
Affiliation (Current)	2025: 弘前大学, 理工学研究科, 准教授
Affiliation (based on the past Project Information) *help	2025: 弘前大学, 理工学研究科, 准教授 2015 – 2023: 弘前大学, 理工学研究科, 准教授
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra
Keywords	Principal Investigator 超越性 / 代数的独立性 / 保型形式 / ヤコビテータ関数 / 線形独立性 / テータ零値 / ランベルト級数 / 超越数 / 約数関数 / 空隙級数 … More / フィボナッチ数 / 無理性 / 従属関係式 / テータ関数 / 整数論 / 特殊値 / トゥエモース数列 / 二項回帰数列 / closed from / ルカ数 / 不定方程式 / 保型関数 / 無限積 / フィボナッチ・ゼータ関数 / ディリクレ指標 / β展開 / ディオファンタス近似 / ベキ級数 / 無理数 Less

保型形式の代数構造および特殊値の数論的性質の研究Principal Investigator
- Principal Investigator
  
  立谷洋平
- Project Period (FY)
  2025 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Hirosaki University
保型形式の特殊値の数論的研究とその応用Principal Investigator
- Principal Investigator
  
  立谷洋平
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Hirosaki University
Research on arithmetical properties of the special values of the theta-constants and the applicationsPrincipal Investigator
- Principal Investigator
  
  Tachiya Yohei
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Hirosaki University
Number representations and arithmetical properties of the numbersPrincipal Investigator
- Principal Investigator
  
  Tachiya Yohei
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Hirosaki University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015

All Journal Article Presentation

[Journal Article] Linear independence of series related to the Thue-Morse sequence along powers2024
- Author(s)
  Michael Coons and Yohei Tachiya
- Journal Title
  
  Canadian Mathematical Bulletin
  
  Volume: - Issue: 3 Pages: 822-832
- DOI
  10.4153/s0008439524000195
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03263
[Journal Article] 代数的独立性の判定条件とその応用2023
- Author(s)
  立谷洋平
- Journal Title
  
  第67回代数学シンポジウム報告集
  
  Volume: - Pages: 19-34
- Data Source
  KAKENHI-PROJECT-18K03201
[Journal Article] Linear independence of certain numbers in the base-b number system2023
- Author(s)
  Murakami Shintaro and Tachiya Yohei
- Journal Title
  
  Archiv der Mathematik
  
  Volume: 122 Issue: 1 Pages: 31-40
- DOI
  10.1007/s00013-023-01919-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K03263
[Journal Article] Linear independence of certain sums of reciprocals of the Lucas numbers2022
- Author(s)
  D.Duverney and Y.Tachiya
- Journal Title
  
  Periodica Mathematica Hungarica
  
  Volume: - Issue: 2 Pages: 378-394
- DOI
  10.1007/s10998-022-00478-2
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03201
[Journal Article] A criterion of algebraic independence of values of modular functions and an application to infinite products involving Fibonacci and Lucas numbers2022
- Author(s)
  Daniel Duverney, Carsten Elsner, Masanobu Kaneko, and Yohei Tachiya
- Journal Title
  
  Reseach in Number Theory
  
  Volume: 8, no. 2 Paper No. 31 Issue: 2
- DOI
  10.1007/s40993-022-00328-7
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K18141, KAKENHI-PROJECT-18K03201, KAKENHI-PROJECT-18K18712, KAKENHI-PROJECT-21H04430
[Journal Article] Algebraic independence of certain infinite products involving the Fibonacci numbers2021
- Author(s)
  D.Duverney and Y. Tachiya
- Journal Title
  
  Proceedings of the Japan Academy, Series A, Mathematical Sciences
  
  Volume: 97 Issue: 5 Pages: 29-31
- DOI
  10.3792/pjaa.97.006
- NAID
  40022572112
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03201
[Journal Article] Algebraic independence results for the values of the theta-constants and some identities2020
- Author(s)
  C. Elsner, M. Kaneko, and Y. Tachiya
- Journal Title
  
  Journal of the Ramanujan Mathematical Society
  
  Volume: 35 Pages: 71-80
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03201
[Journal Article] Linear independence of infinite products generated by the Lucas numbers2020
- Author(s)
  D.Duverney and Y. Tachiya
- Journal Title
  
  The Fibonacci Quarterly
  
  Volume: 58 Pages: 115-127
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03201
[Journal Article] Linear independence results for sums of reciprocals of Fibonacci and Lucas numbers2020
- Author(s)
  D.Duverney, Y. Suzuki, and Y. Tachiya
- Journal Title
  
  Acta Mathematica Hungarica
  
  Volume: 162 Issue: 1 Pages: 375-392
- DOI
  10.1007/s10474-020-01060-3
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03201, KAKENHI-PROJECT-19K23402
[Journal Article] Refinement of the Chowla-Erdos method and linear independence of certain Lambert series2019
- Author(s)
  D. Duverney and Y. Tachiya
- Journal Title
  
  Forum Mathematicum
  
  Volume: 31 Issue: 6 Pages: 1557-1566
- DOI
  10.1515/forum-2018-0299
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03201
[Journal Article] Algebraic results for the values \theta_3(m\tau) and \theta_3(n\tau) of the Jacobi theta-constant.2019
- Author(s)
  C. Elsner, F. Luca, and Y. Tachiya
- Journal Title
  
  Moscow Journal of Combinatorics and Number Theory
  
  Volume: 8 Issue: 1 Pages: 71-79
- DOI
  10.2140/moscow.2019.8.71
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03201
[Journal Article] Algebraic results for certain values of the Jacobi theta-constant \theta_3(\tau)2018
- Author(s)
  C. Elsner and Y. Tachiya
- Journal Title
  
  Mathematica Scandinavica
  
  Volume: 印刷中
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17504
[Journal Article] Linear independence results for the reciprocal sums of Fibonacci numbers associated with Dirichlet characters2017
- Author(s)
  H. Ei, F. Luca, and Y. Tachiya
- Journal Title
  
  Studia Scientiarum Mathematicarum Hungarica
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17504
[Journal Article] Linear independence results for the values of divisor functions series2017
- Author(s)
  F. Luca and Y. Tachiya
- Journal Title
  
  RIMS Kokyuroku 2014
  
  Volume: 2014 Pages: 138-150
- Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17504
[Journal Article] Transcendence over Meromorphic functions2017
- Author(s)
  M. Coons and Y. Tachiya
- Journal Title
  
  Bulletin of the Australian Mathematical Society
  
  Volume: 印刷中 Issue: 3 Pages: 393-399
- DOI
  10.1017/s0004972717000193
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17504
[Presentation] Thue-Morse数列に付随する無限級数の線形独立性2024
- Author(s)
  立谷洋平
- Organizer
  2023年度日本数学会東北支部会
- Data Source
  KAKENHI-PROJECT-22K03263
[Presentation] Linear independence of infinite series related to the Thue-Morse sequence along powers2024
- Author(s)
  立谷洋平
- Organizer
  数論とエルゴード理論
- Data Source
  KAKENHI-PROJECT-22K03263
[Presentation] 単項式指数をもつ空隙級数の線形独立性について2022
- Author(s)
  立谷洋平, 村上慎太郎
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-18K03201
[Presentation] Kumarの定理の一般化とその証明法について2022
- Author(s)
  立谷洋平
- Organizer
  2022大分熊本整数論研究集会
- Data Source
  KAKENHI-PROJECT-18K03201
[Presentation] 代数的独立性の判定条件とその応用2022
- Author(s)
  立谷洋平
- Organizer
  第67回代数学シンポジウム
- Data Source
  KAKENHI-PROJECT-18K03201
[Presentation] Algebraic independence results for the infinite products involving Fibonacci and Lucas numbers2022
- Author(s)
  Yohei Tachiya
- Organizer
  Online conference <Days of Transcendence> in occasion of Professor Yuri Nesterenko's 75th birthday
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03201
[Presentation] Arithmetical properties of certain infinite series and products involving the Lucas numbers2021
- Author(s)
  立谷洋平
- Organizer
  第14回ゼータ若手研究集会(オンラインによる開催)
- Invited
- Data Source
  KAKENHI-PROJECT-18K03201
[Presentation] モジュラー関数値に対する代数的独立性の判定基準とその応用2021
- Author(s)
  立谷洋平
- Organizer
  東北大学理学部数学科談話会
- Invited
- Data Source
  KAKENHI-PROJECT-18K03201
[Presentation] Algebraic independence criterion for the values of modular forms and the applications2021
- Author(s)
  立谷洋平
- Organizer
  筑波セミナー（オンライン形式）
- Invited
- Data Source
  KAKENHI-PROJECT-18K03201
[Presentation] Refinement of Chowla-Erdos method and arithmetical properties of certain Lambert series2019
- Author(s)
  Yohei Tachiya
- Organizer
  Diophantine Analysis and Related Fields 2019
- Data Source
  KAKENHI-PROJECT-18K03201
[Presentation] Linear independence of reciprocal sums of certain Fibonacci-type numbers2019
- Author(s)
  Yohei Tachiya
- Organizer
  24th Central European Number Theory Conference
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03201
[Presentation] Algebraic independence results for values of Jacobi theta function2017
- Author(s)
  Yohei Tachiya
- Organizer
  Diophantine Analysis and Related Fields 2017
- Place of Presentation
  日本大学理工学部駿河台キャンパス
- Data Source
  KAKENHI-PROJECT-15K17504
[Presentation] テータ関数値の代数的独立性について2017
- Author(s)
  立谷洋平
- Organizer
  日本数学会2017年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-15K17504
[Presentation] On algebraic relations between the values of the theta function2017
- Author(s)
  Yohei Tachiya
- Organizer
  Vilnius Conference in Combinatorics and Number Theory
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17504
[Presentation] Arithmetical properties of the values of the Fibonacci L-functions2016
- Author(s)
  立谷洋平
- Organizer
  平成27年度日本数学会東北支部会
- Place of Presentation
  弘前大学文京キャンパス
- Year and Date
  2016-02-13
- Invited
- Data Source
  KAKENHI-PROJECT-15K17504
[Presentation] Arithmetical properties for the values of Jacobi theta functions2016
- Author(s)
  Yohei Tachiya
- Organizer
  Number Theory Down Under
- Place of Presentation
  Harbourview Function Centre, Newcastle, Australia
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17504
[Presentation] ディリクレ指標に付随するフィボナッチ数列の逆数和について2015
- Author(s)
  立谷洋平
- Organizer
  日本数学会2015年度秋季総合分科会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-16
- Data Source
  KAKENHI-PROJECT-15K17504
[Presentation] Linear independence results for reciprocal sums of Fibonacci numbers associated with Dirichlet characters2015
- Author(s)
  Yohei Tachiya
- Organizer
  22nd Czech and Slovak International Conference on Number Theory
- Place of Presentation
  Hotel Sorea Maj, Liptovksy Jan, Slovakia
- Year and Date
  2015-09-01
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17504
[Presentation] Linear independence results for various infinite series2015
- Author(s)
  Yohei Tachiya
- Organizer
  RIMS Workshop 2015 Analytic Number Theory and Related Areas
- Place of Presentation
  RIMS, Kyoto University
- Year and Date
  2015-11-06
- Data Source
  KAKENHI-PROJECT-15K17504

1. Luca Florian

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
2. Coons Michael

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
3. Elsner Carsten

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
4. 金子昌信

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Tachiya Yohei 立谷 洋平

Research Projects

Research Products

Co-Researchers

保型形式の代数構造および特殊値の数論的性質の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

保型形式の特殊値の数論的研究とその応用Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Research on arithmetical properties of the special values of the theta-constants and the applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Number representations and arithmetical properties of the numbersPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Linear independence of series related to the Thue-Morse sequence along powers2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] 代数的独立性の判定条件とその応用2023

Author(s)

Journal Title

Data Source

[Journal Article] Linear independence of certain numbers in the base-b number system2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Linear independence of certain sums of reciprocals of the Lucas numbers2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A criterion of algebraic independence of values of modular functions and an application to infinite products involving Fibonacci and Lucas numbers2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Algebraic independence of certain infinite products involving the Fibonacci numbers2021

Author(s)

Journal Title

DOI

NAID

Data Source

[Journal Article] Algebraic independence results for the values of the theta-constants and some identities2020

Author(s)

Journal Title

Data Source

[Journal Article] Linear independence of infinite products generated by the Lucas numbers2020

Author(s)

Journal Title

Data Source

[Journal Article] Linear independence results for sums of reciprocals of Fibonacci and Lucas numbers2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Refinement of the Chowla-Erdos method and linear independence of certain Lambert series2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Algebraic results for the values \theta_3(m\tau) and \theta_3(n\tau) of the Jacobi theta-constant.2019

Author(s)

Journal Title

DOI

Tachiya Yohei 立谷洋平