A Note on Transcendental Power Series Mapping the Set of Rational Numbers into Itself
Résumé
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].
Domaines
Mathématiques [math]| Origine | Accord explicite pour ce dépôt |
|---|
