Updated on 2024/03/23

写真a

 
TACHIYA Yohei
 
Affiliation
Graduate School of Science and Technology Research Division

Degree

  • 博士(理学)

  • 修士(理学)

  • 学士(理学)

Research Interests

  • 超越数論

  • Number Theory

Research Areas

  • Natural Science / Algebra

Professional Memberships

  • 日本数学会

Papers

  • Linear independence of series related to the Thue-Morse sequence along powers

    Michael Coons, Yohei Tachiya

    Canadian Mathematical Bulletin   2024.3

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Linear independence of certain numbers in the base-b number system

    Shintaro Murakami, Yohei Tachiya

    Archiv der Mathematik   122 ( 1 )   31 - 40   2023.9

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • 代数的独立性の判定条件とその応用

    立谷 洋平

    第67回 代数学シンポジウム報告集   19 - 34   2023.2

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    Language:Japanese   Publishing type:Research paper (conference, symposium, etc.)   Kind of work:Single Work  

  • Linear independence of certain sums of reciprocals of the Lucas numbers

    Daniel Duverney, Yohei Tachiya

    Periodica Mathematica Hungarica   86 ( 2 )   378 - 394   2022.7

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • A criterion of algebraic independence of values of modular functions and an application to infinite products involving Fibonacci and Lucas numbers

    Daniel Duverney, Carsten Elsner, Masanobu Kaneko, Yohei Tachiya

    Research in Number Theory   8 ( 2 )   2022.6

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Algebraic independence of certain infinite products involving the Fibonacci numbers

    Daniel Duverney, Yohei Tachiya

    Proceedings of the Japan Academy, Series A, Mathematical Sciences   97 ( 5 )   29 - 31   2021.5

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Linear independence of infinite products generated by the Lucas numbers

    Daniel Duverney, Yohei Tachiya

    The Fibonacci Quarterly   58 ( 5 )   115 - 127   2020.12

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Linear independence results for sums of reciprocals of Fibonacci and Lucas numbers

    Daniel Duverney, Yuta Suzuki, Yohei Tachiya

    Acta Mathematica Hungarica   162 ( 1 )   375 - 392   2020.6

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Algebraic independence results for the values of the theta-constants and some identities

    Carsten Elsner, Masanobu Kaneko, Yohei Tachiya

    Journal of the Ramanujan Mathematical Society   35 ( 1 )   71 - 80   2020.3

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

    Web of Science

  • Refinement of the Chowla-Erdős method and linear independence of certain Lambert series

    Daniel Duverney, Yohei Tachiya

    Forum Mathematicum   31 ( 6 )   1557 - 1566   2019.11

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

    Web of Science

  • Algebraic results for the values ϑ3(mτ) and ϑ3(nτ) of the Jacobi theta-constant.

    Carsten Elsner, Florian Luca, Yohei Tachiya

    Moscow Journal of Combinatorics and Number Theory   8 ( 1 )   71 - 79   2019.1

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Algebraic results for certain values of the Jacobi theta-constant θ3(τ)

    Carsten Elsner, Yohei Tachiya

    Mathematica Scandinavica   123 ( 2 )   249 - 272   2018.9

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Linear independence results for the reciprocal sums of Fibonacci numbers associated with Dirichlet characters

    Hiromi Ei, Florian Luca, Yohei Tachiya

    Studia Scientiarum Mathematicarum Hungarica   54 ( 1 )   61 - 81   2017.3

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

    Web of Science

  • Linear independence results for the values of divisor functions series (Analytic Number Theory and Related Areas)

    Luca Florian, Tachiya Yohei

    2014   138 - 150   2017.1

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

    CiNii Research

  • Explicit algebraic dependence formulae for infinite products related with Fibonacci and Lucas numbers

    Hajime Kaneko, Takeshi Kurosawa, Yohei Tachiya, Taka-aki Tanaka

    Acta Arithmetica   168 ( 2 )   161 - 186   2015.5

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Linear independence of certain Lambert series

    Florian Luca, Yohei Tachiya

    Proceedings of the American Mathematical Society   142 ( 10 )   3411 - 3419   2014.10

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    Web of Science

  • Algebraic independence results for the values of certain Mahler functions and their application to infinite products

    Takeshi Kurosawa, Yohei Tachiya, Taka-aki Tanaka

    Monatshefte für Mathematik   174 ( 1 )   77 - 104   2014.5

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    Web of Science

  • Irrationality of Lambert series associated with a periodic sequence

    Florian Luca, Yohei Tachiya

    International Journal of Number Theory   10 ( 3 )   623 - 636   2014.5

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    Web of Science

  • Algebraic independence of infinite products generated by Fibonacci and Lucas numbers

    Florian Luca, Yohei Tachiya

    Hokkaido Mathematical Journal   43 ( 1 )   1 - 20   2014.2

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    Web of Science

  • Algebraic independence of the values of certain infinite products and their derivatives related to Fibonacci and Lucas numbers (Analytic Number Theory : Number Theory through Approximation and Asymptotics)

    Kurosawa Takeshi, Tachiya Yohei, Tanaka Taka-aki

    1874   81 - 93   2014.1

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    CiNii Research

  • Algebraic independence results for the infinite products generated by Fibonacci numbers

    Florian Luca, Yohei Tachiya

    Annales Mathematicae et Informaticae   41   165 - 173   2013

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Algebraic relations with the infinite products generated by Fibonacci numbers

    Takeshi Kurosawa, Yohei Tachiya, Taka-aki Tanaka

    Annales Mathematicae et Informaticae   41   107 - 119   2013

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • On the multiplicative order of F_N+1 /F_N modulo F_M(共著)

    Komatsu Takao, Florian Luca, Yohei Tachiya

    Integers   12B ( A8 )   1 - 13   2012.12

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Algebraic independence results related to pattern sequences in distinct < q, r>-numeration systems

    Yohei Tachiya

    Tohoku Mathematical Journal   64 ( 3 )   427 - 438   2012.9

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    Web of Science

  • Expressions of pattern sequences

    Yohei Tachiya

    RIMS Kokyuroku Bessatsu   B34   437 - 444   2012.8

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  • Expressions of pattern sequences (Functions in Number Theory and Their Probabilistic Aspects)

    TACHIYA Yohei

    RIMS Kokyuroku Bessatsu   B34   437 - 444   2012.8

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    CiNii Research

  • Linear relations between pattern sequences in a ⟨q,r⟩-numeration system

    Iekata Shiokawa, Yohei Tachiya

    Acta Mathematica Hungarica   132 ( 1-2 )   190 - 206   2011.3

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  • Algebraic independence results for the sixteen families of q-series

    Carsten Elsner, Shun Shimomura, Iekata Shiokawa, Yohei Tachiya

    The Ramanujan Journal   22 ( 3 )   315 - 344   2010.8

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    Web of Science

  • Independence results for pattern sequences in distinct bases

    Yohei Tachiya

    Acta Arithmetica   142 ( 2 )   157 - 167   2010.5

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  • Algebraic independence of infinite products generated by Fibonacci numbers (共著)

    Takeshi Kurosawa, Yohei Tachiya, Taka-aki Tanaka

    Tsukuba Journal of Mathematics   34 ( 2 )   255 - 264   2010.5

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  • On the irrationality measure for certain series

    Kenji Amano, Yohei Tachiya

    Monatshefte für Mathematik   156 ( 1 )   1 - 9   2009.1

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    Web of Science

  • Pattern sequences in ‹q, r›- numeration systems

    Iekata Shiokawa, Yohei Tachiya

    Indagationes Mathematicae   19 ( 1 )   151 - 161   2008.3

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  • Transcendence of certain infinite products

    Yohei Tachiya

    Journal of Number Theory   125 ( 1 )   182 - 200   2007.1

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  • Transcendence of the values of infinite products in several variables

    Yohei Tachiya

    Results in Mathematics   48 ( 3-4 )   344 - 370   2005.10

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  • Irrationality of certain Lambert series

    Yohei Tachiya

    Tokyo Journal of Mathematics   27 ( 1 )   75 - 85   2004.6

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Review Papers

  • Linear independence results for the values of divisor functions series

    Florian Luca, Yohei Tachiya

    数理解析研究所講究録   2014   138 - 150   2017.1

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    Language:English   Publishing type:Article, review, commentary, editorial, etc. (bulletin of university, research institution)   Publisher:京都大学数理解析研究所   Kind of work:Joint Work    Code for field of experts (e-Rad):Natural Science / Algebra

  • Arithmetical properties of infinite products generated by binary recurrences

    Yohei Tachiya

    Diophantine Analysis and Related Fields 2011   1385   108 - 115   2011.1

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    Language:English   Publishing type:Article, review, commentary, editorial, etc. (scientific journal)   Publisher:American institute of Physics Conference Proceedings   Kind of work:Single Work    Code for field of experts (e-Rad):Natural Science / Algebra

Social Activities

  • 青森東高等学校「大学模擬授業」

    2023.09.14

  • 大館鳳鳴高等学校「模擬授業」

    2023.08.23

  • 第23回青森県高等学校 理数系課題研究発表会助言者

    2022.12.17

  • 大曲高等学校「大学模擬授業(オンライン)」

    2022.10.12

  • 夏休みの数学2022「整数の世界~素数の不思議~」

    2022.07.31

  • 大館鳳鳴高等学校「大学研究室訪問」

    2022.07.05

  • いざ,数の世界へ!!~有理数と無理数をめぐって~

    2021.10.02

  • いざ,数の世界へ!!~有理数と無理数をめぐって~

    2021.07.10

  • 弘前南高等学校 研究室訪問・研究指導

    2019.06 - 2019.10

  • 第18回青森県高等学校理数系課題研究発表会助言者

    2017.12

  • コンパスと定規で作図できる数や図形の性質について

    2017.11.11

  • 南陵サイエンスセミナー

    2017.11

  • 分数1/7のこころ

    2016.10.14

  • 鹿沼高等学校 出前授業

    2016.10

  • 中学・高校教員のための数学講座ー整数の基本的性質についてー

    2016.07.24

  • 宇都宮南高等学校 出張講義

    2015.12

  • 中学・高校教員のための数学講座ー整数の基本的性質についてー

    2015.07.26

  • オープンキャンパス 個別進路相談会

    2014.08

  • 青森北高校進学説明会

    2014.06

  • コンパスと定規による作図

    2013.10.05 - 2013.10.06

  • 南陵サイエンスセミナー

    2013.10

  • 第12回青森県高等学校理数系課題研究発表会助言者

    2011.12

  • コンパスと定規による作図

    2011.09.17 - 2011.09.18

  • 青森サイエンスキャンプ

    2011.09

  • 平成23年度弘前大学オープンキャンパス模擬講義

    2011.08

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Media Coverage

  • キラキラ素数探検ツアー

    2019.06.16