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

Linear independence of infinite products generated by the Lucas numbers

Daniel Duverney, Yohei Tachiya

The Fibonacci Quarterly   58 ( 5 )   115 - 127   2020.12

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

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

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

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

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

Carsten Elsner, Yohei Tachiya

Mathematica Scandinavica   123 ( 2 )   249 - 272   2018.9

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

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

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

Linear independence of certain Lambert series

Florian Luca, Yohei Tachiya

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

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

Irrationality of Lambert series associated with a periodic sequence

Florian Luca, Yohei Tachiya

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

Algebraic independence of infinite products generated by Fibonacci and Lucas numbers

Florian Luca, Yohei Tachiya

Hokkaido Mathematical Journal   43 ( 1 )   1 - 20   2014.2

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

Algebraic independence results for the infinite products generated by Fibonacci numbers

Florian Luca, Yohei Tachiya

Annales Mathematicae et Informaticae   41   165 - 173   2013

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

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

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

Yohei Tachiya

Tohoku Mathematical Journal   64 ( 3 )   427 - 438   2012.9

Expressions of pattern sequences

Yohei Tachiya

RIMS Kokyuroku Bessatsu   B34   437 - 444   2012.8

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

TACHIYA Yohei

RIMS Kokyuroku Bessatsu   B34   437 - 444   2012.8

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

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

Independence results for pattern sequences in distinct bases

Yohei Tachiya

Acta Arithmetica   142 ( 2 )   157 - 167   2010.5

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

On the irrationality measure for certain series

Kenji Amano, Yohei Tachiya

Monatshefte für Mathematik   156 ( 1 )   1 - 9   2009.1

Pattern sequences in ‹q, r›- numeration systems

Iekata Shiokawa, Yohei Tachiya

Indagationes Mathematicae   19 ( 1 )   151 - 161   2008.3

Transcendence of certain infinite products

Yohei Tachiya

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

Transcendence of the values of infinite products in several variables

Yohei Tachiya

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

Irrationality of certain Lambert series

Yohei Tachiya

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

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