Algebraic Numbers of the form αT with α Algebraic and T Transcendental
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Let α≠1 be a positive real number and let P(x) be a non-constant rational function with algebraic coefficients. In this paper, in particular, we prove that the set of algebraic numbers of the form αP(T), with T transcendental, is dense in some open interval of R.
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2018 ◽
Vol 7
(1)
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pp. 77-83
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2014 ◽
Vol 16
(04)
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pp. 1350046
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1989 ◽
Vol 26
(01)
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pp. 103-112
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1964 ◽
Vol 4
(1)
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pp. 122-128
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