論文 - 立谷 洋平
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実数の有理数近似とリュービル級数値の代数的独立性
立谷 洋平
2024年度(第31回)整数論サマースクール報告集「超越数論」 113 - 131 2025年01月
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Linear independence of series related to the Thue-Morse sequence along powers
Michael Coons, Yohei Tachiya
Canadian Mathematical Bulletin 2024年03月
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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年09月
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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年02月
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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年07月
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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年06月
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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年05月
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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年12月
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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年06月
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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年03月
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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年11月
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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年01月
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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年09月
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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年03月
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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年01月
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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年05月
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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年10月
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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年05月
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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年05月
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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年02月
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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年01月
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Algebraic independence results for the infinite products generated by Fibonacci numbers
Florian Luca, Yohei Tachiya
Annales Mathematicae et Informaticae 41 165 - 173 2013年
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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年
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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年12月
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Algebraic independence results related to pattern sequences in distinct < q, r>-numeration systems
Yohei Tachiya
Tohoku Mathematical Journal 64 ( 3 ) 427 - 438 2012年09月
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Expressions of pattern sequences
Yohei Tachiya
RIMS Kokyuroku Bessatsu B34 437 - 444 2012年08月
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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年08月
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Linear relations between pattern sequences in a ⟨q,r⟩-numeration system
Iekata Shiokawa, Yohei Tachiya
Acta Mathematica Hungarica 132 ( 1-2 ) 190 - 206 2011年03月
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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年08月
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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年05月
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Independence results for pattern sequences in distinct bases
Yohei Tachiya
Acta Arithmetica 142 ( 2 ) 157 - 167 2010年05月
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On the irrationality measure for certain series
Kenji Amano, Yohei Tachiya
Monatshefte für Mathematik 156 ( 1 ) 1 - 9 2009年01月
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Pattern sequences in ‹q, r›- numeration systems
Iekata Shiokawa, Yohei Tachiya
Indagationes Mathematicae 19 ( 1 ) 151 - 161 2008年03月
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Transcendence of certain infinite products
Yohei Tachiya
Journal of Number Theory 125 ( 1 ) 182 - 200 2007年01月
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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年10月
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Irrationality of certain Lambert series
Yohei Tachiya
Tokyo Journal of Mathematics 27 ( 1 ) 75 - 85 2004年06月