Three constructions of rational points on Y2 = X3 ... NX.
Paul Monsky (1992)
Mathematische Zeitschrift
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Paul Monsky (1992)
Mathematische Zeitschrift
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Paul Monsky (1990)
Mathematische Zeitschrift
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Helmut Werner (1964/65)
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Birger Iversen (1972)
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Oliver Küchle (1994)
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Kathryn Kuiken (1978)
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Emrah Çakçak, Ferruh Özbudak (2005)
Acta Arithmetica
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Martin Huber (1979)
Mathematische Zeitschrift
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Robert F. Lax (1978)
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Jan-Erik. Andersson, Tord Ganelius (1977)
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R.R. Simha (1963)
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Alf Bjorn Aure (1984)
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In this paper we consider rational Bézier curves with control points having rational coordinates and rational weights, and we give necessary and sufficient conditions for such a curve to have infinitely many points with integer coefficients. Furthermore, we give algorithms for the construction of these curves and the computation of theirs points with integer coefficients.
J. Chris Fisher, Joseph A. Thas (1979)
Mathematische Zeitschrift
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