Diego Marques ; Elaine Silva
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A Note on Transcendental Power Series Mapping the Set of Rational Numbers into Itself
cm:9459 -
Communications in Mathematics,
June 28, 2017,
Volume 25 (2017), Issue 1
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https://doi.org/10.1515/cm-2017-0001A Note on Transcendental Power Series Mapping the Set of Rational Numbers into ItselfArticleAuthors: Diego Marques

; Elaine Silva
0000-0003-1501-4950##NULL
Diego Marques;Elaine Silva
In this note, we prove that there is no transcendental entire function f(z) ∈ ℚ[[z]] such that f(ℚ) ⊆ ℚ and den f(p/q) = F(q), for all sufficiently large q, where F(z) ∈ ℤ[z].
Volume: Volume 25 (2017), Issue 1
Published on: June 28, 2017
Imported on: May 11, 2022
Keywords: [MATH]Mathematics [math]