Updated on 2022/03/24

写真a

 
TACHIYA Yohei
 
Affiliation
Shizen Kagakukei(It is currently under consideration) Safety Science and Technology Section
Full-time staff
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

  • Natural Science / Algebra

Professional Memberships

  • 日本数学会

  • 日本数学会

Papers

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

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

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

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

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

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

    Web of Science

  • Expressions of pattern sequences

    Yohei Tachiya

    RIMS Kokyuroku Bessatsu   B34   437 - 444   2012.8

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

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

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

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

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

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

  • Transcendence of certain infinite products

    Yohei Tachiya

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

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

  • 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

  • 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