Algebraic independence of the values of power series generated by linear recurrences

• Autorzy: Taka-Aki Tanaka
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1996
• Tom: 74
• Numer: 2
• Strony: 177-190

Daty

wydano

1996

otrzymano

1995-03-20

Twórcy

autor

Taka-Aki Tanaka

• Department of Mathematics, Keio University, 3-14-1, Hiyoshi, Kohoku-Ku, Yokohama 223 Japan

Bibliografia

• [1] J. W. S. Cassels, Local Fields, Cambridge University Press, 1986.
• [2] F. R. Gantmacher, Applications of the Theory of Matrices, Vol. II, Interscience, New York, 1959.
• [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.
• [4] K. Mahler, Arithmetische Eigenschaften der Lösungen einer Klasse von Funktionalgleichungen, Math. Ann. 101 (1929), 342-366.
• [5] D. W. Masser, A vanishing theorem for power series, Invent. Math. 67 (1982), 275-296.
• [6] K. Nishioka, Conditions for algebraic independence of certain power series of algebraic numbers, Compositio Math. 62 (1987), 53-61.
• [7] K. Nishioka, Algebraic independence of Mahler functions and their values, Tôhoku Math. J., to appear.