A Note on Transcendental Power Series Mapping the Set of Rational Numbers into ItselfArticle
Authors: 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].
JOHANNES SCHLEISCHITZ, 2025, MAILLET’S PROPERTY AND MAHLER’S CONJECTURE ON LIOUVILLE NUMBERS FAIL FOR MATRICES, Journal of the Australian Mathematical Society, pp. 1-22, 10.1017/s1446788725000011.