Papers - TACHIYA Yohei
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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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