Algebraic Independence of the Values of Power Series and Their Derivatives Generated by Linear Recurrences

Author:

IDE Haruki,TANAKA Taka-aki,TOYAMA Kento

Publisher

Tokyo Journal of Mathematics

Subject

General Mathematics

Reference13 articles.

1. [1] B. Adamczewski and C. Faverjon, Mahler’s method in several variables I: The theory of regular singular systems, preprint (2018), [math.NT].

2. [3] J. H. Loxton and A. J. van Der Poorten, Algebraic independence properties of the Fredholm series, J. Austral. Math. Soc. Ser. A 26 (1978), 31–45.

3. [4] D. W. Masser, A vanishing theorem for power series, Invent. Math. 67 (1982), 275–296.

4. [5] K. Nishioka, Conditions for algebraic independence of certain power series of algebraic numbers, Compositio Math. 62 (1987), 53–61.

5. [6] K. Nishioka, Algebraic independence of Mahler functions and their values, Tohoku Math. J. 48 (1996), 51–70.

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