Some results on asymptotic versions of Mahler's problems
Abstract
In this paper, we show the existence of a transcendental function f∈Z\z\ with coefficients that are almost all bounded such that f and all its derivatives assume algebraic values at algebraic points. Furthermore, we demonstrate that certain subsets of algebraic numbers are exceptional sets of some transcendental function f∈Z\z\ with almost all bounded coefficients.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.