Taka-aki Tanaka

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All published works

Action	Title	Year	Authors
+ PDF Chat	Explicit algebraic dependence formulae for infinite products related with Fibonacci and Lucas numbers	2015	Kaneko Hajime Takeshi Kurosawa Yohei Tachiya Taka-aki Tanaka
+	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)	2014	Takeshi Kurosawa Yohei Tachiya Taka-aki Tanaka
+	Algebraic independence properties related to certain infinite products	2011	Taka-aki Tanaka Masaaki Amou Masanori Katsurada
+	Algebraic independence of certain series involving continued fractions and generated by linear recurrences (New Aspects of Analytic Number Theory)	2009	Taka-aki Tanaka
+ PDF Chat	Algebraic independence of modified reciprocal sums of products of Fibonacci numbers	2006	Taka-aki Tanaka
+	Algebraic independence of the values of certain functions at distinct algebraic points(Analytic Number Theory and Surrounding Areas)	2006	Taka-aki Tanaka
+	Algebraic independence of power series generated by linearly independent positive numbers	2004	Taka-aki Tanaka
+	Algebraic independence of certain power series associated with $d$-adic expansion of real numbers (Analytic Number Theory and Surrounding Areas)	2004	Taka-aki Tanaka
+ PDF Chat	Algebraic independence of Fibonacci reciprocal sums associated with Newton's method	2003	Taka-aki Tanaka
+	Transcendence of the values of certain series with Hadamard's gaps	2002	Taka-aki Tanaka
+	Algebraic Independence of Sums of Reciprocals of the Fibonacci Numbers	1999	Kumlko Nishioka Taka-aki Tanaka Takeshi Toshimitsu
+	Substitution in two letters and transcendence (Number Theory and its Applications)	1998	Kumiko Nishioka Taka-aki Tanaka Zhi-Ying Wen

Common Coauthors

Coauthor	Papers Together
Takeshi Kurosawa	2
Yohei Tachiya	2
Takeshi Toshimitsu	1
Masaaki Amou	1
Kumiko Nishioka	1
Masanori Katsurada	1
Zhi-Ying Wen	1
Kumlko Nishioka	1
Kaneko Hajime	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the algebraic independence of holomorphic solutions of certain functional equations and their values	1977	K. K. Kubota	3
+ PDF Chat	Algebraic independence of the values of power series generated by linear recurrences	1996	Taka Aki Tanaka	2
+	Theorie des Fonctions Numeriques Simplement Periodiques	1878	Édouard Lucas	2
+	Algebraic Independence of Sums of Reciprocals of the Fibonacci Numbers	1999	Kumlko Nishioka Taka-aki Tanaka Takeshi Toshimitsu	2
+	Algebraic independence of reciprocal sums of binary recurrences	1997	Kumiko Nishioka	2
+	Algebraic independence properties of the Hecke-Mahler series	1999	David Masser	1
+	A vanishing theorem for power series	1982	David Masser	1
+	Transcendence of Certain Reciprocal Sums of Linear Recurrences	2002	Daniel Duverney Tomoaki Kanoko Taka-aki Tanaka	1
+ PDF Chat	Arithmetic properties of certain functions in several variables III	1977	John Loxton A. J. van der Poorten	1
+	Transcendence of the values of certain series with Hadamard's gaps	2002	Taka-aki Tanaka	1
+	Arithmetische Eigenschaften einer Klasse transzendental-transzendenter Funktionen	1930	Kurt Mahler	1
+	Conditions for the algebraic independence of certain series involving continued fractions and generated by linear recurrences	2009	Taka Aki Tanaka	1
+ PDF Chat	On the transcendence of certain power series of algebraic numbers	1973	PL Pieter Cijsouw R. Tijdeman	1
+	Algebraic independence by Mahler’s method and $S$-unit equations	1994	Kumiko Nishioka	1
+ PDF Chat	Algebraic independence of Fibonacci reciprocal sums associated with Newton's method	2003	Taka-aki Tanaka	1
+	A class of hypertranscendental functions	1977	John Loxton A. J. van der Poorten	1
+ PDF Chat	None	2002	Pietro Corvaja Umberto Zannier	1
+	A class of hypertranscendental functions	1977	John Loxton A. J. van der Poorten	1
+	Transcendence of certain infinite products	2007	Yohei Tachiya	1
+ PDF Chat	Algebraic independence of Fredholm series	2001	Kumiko Nishioka	1