Algebraic independence by Mahler’s method and -unit equations
Kumiko Nishioka (1994)
Compositio Mathematica
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Kumiko Nishioka (1994)
Compositio Mathematica
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Jaroslav Hančl (1996)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Rolf Wallisser (2005)
Journal de Théorie des Nombres de Bordeaux
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Let be a nonconstant polynomial with integer coefficients and without zeros at the non–negative integers. Essentially with the method of Hermite, a new proof is given on linear independence of values at rational points of the function
Lucas A. Jódar Sánchez (1990)
Publicacions Matemàtiques
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In this paper a method for solving operator differential equations of the type X' = A + BX + XD; X(0) = C, avoiding the operator exponential function, is given. Results are applied to solve initial value problems related to Riccati type operator differential equations whose associated algebraic equation is solvable.
Alan Adolphson, Steven Sperber (1988)
Compositio Mathematica
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Andrzej Schinzel (1988)
Acta Arithmetica
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