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Arithmetic properties of certain functions in several variables. (English) Zbl 0339.10026


MSC:

11J81 Transcendence (general theory)
39B99 Functional equations and inequalities
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References:

[1] Baker, A., Linear forms in the logarithms of algebraic numbers, Mathematika, 13, 204-216 (1966) · Zbl 0161.05201
[2] Baker, A., A sharpening of the bounds for linear forms in logarithms, II, Acta Arith., 24, 33-36 (1973) · Zbl 0261.10025
[3] Gantmacher, F. R., (Applications of the Theory of Matrices (1959), Interscience: Interscience New York) · Zbl 0085.01001
[4] Lang, S., (Introduction to Transcendental Numbers (1966), Addison-Wesley: Addison-Wesley Reading, Mass)
[5] Loxton, J. H.; van der Poorten, A. J., On algebraic functions satisfying a class of functional equations, Aequationes Math., 14, 413-420 (1976) · Zbl 0339.12002
[6] Mahler, K., Arithmetische Eigenschaften der Lösungen einer Klasse von Funktionalgleichungen, Math. Ann., 101, 342-366 (1929) · JFM 55.0115.01
[7] Mahler, K., Über das Verschwinden von Potenzreihen mehrerer Veränderlichen in speziellen Punktfolgen, Math. Ann., 103, 573-587 (1930) · JFM 56.0185.03
[8] Mahler, K., Arithmetische Eigenschaften einer Klasse transzendental-transzendenter Funktionen, Math. Z., 32, 545-585 (1930) · JFM 56.0186.01
[9] Mahler, K., Remarks on a paper by W. Schwarz, J. Number Theory, 1, 512-521 (1969) · Zbl 0184.07602
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