Real functions as traces of Infinte polynomials.
Chris Impens (1989)
Mathematische Annalen
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Chris Impens (1989)
Mathematische Annalen
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J.L. Walsh (1958)
Mathematische Annalen
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Hà Huy Vui, Alexandru Zaharia (1996)
Mathematische Annalen
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W.D. Mac Millan (1912)
Mathematische Annalen
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A. Schinzel (1967)
Colloquium Mathematicae
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Miroslav Kureš, Ladislav Skula (2008)
Annales UMCS, Mathematica
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It is proved that generalized polynomials with rational exponents over a commutative field form an elementary divisor ring; an algorithm for computing the Smith normal form is derived and implemented.
Richard Eier, Rudolf Lidl (1982)
Mathematische Annalen
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A.G. O'Farrell, K.J. Preskenis (1989)
Mathematische Annalen
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Borwein, Peter, Mossinghoff, Michael J. (2000)
Experimental Mathematics
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Roffelsen, Pieter (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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S. Abian, E. MENDELSON (1960)
Mathematische Annalen
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Yong Zhang (2016)
Colloquium Mathematicae
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Let f ∈ ℚ [X] be a polynomial without multiple roots and with deg(f) ≥ 2. We give conditions for f(X) = AX² + BX + C such that the Diophantine equation f(x)f(y) = f(z)² has infinitely many nontrivial integer solutions and prove that this equation has a rational parametric solution for infinitely many irreducible cubic polynomials. Moreover, we consider f(x)f(y) = f(z)² for quartic polynomials.
L. Carlitz (1969)
Acta Arithmetica
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Claude Brezinski (2002)
RACSAM
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This paper is an introduction to formal orthogonal polynomials and their application to Padé approximation, Krylov subspace methods for the solution of systems of linear equations, and convergence acceleration methods. Some more general formal orthogonal polynomials, and the concept of biorthogonality and its applications are also discussed.
A. Hurwitz (1913)
Mathematische Annalen
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