Persistence of form and the value group of reducible cubics

Elliott, P. D. T. A.

doi:10.1090/S0002-9947-1987-0869403-3

Persistence of form and the value group of reducible cubics
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by P. D. T. A. Elliott

Trans. Amer. Math. Soc. 299 (1987), 133-143

DOI: https://doi.org/10.1090/S0002-9947-1987-0869403-3

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Abstract:

It is proved that the values of $x({x^2} + c)$, $c \ne 0$, at positive integers, multiplicatively generate the positive rationals. Analogs in rational function fields are obtained.

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