論文 - 立谷 洋平
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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