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What is Mahler about?

This document presents a solution to a problem posed by K. Mahler regarding exceptional sets of transcendental functions with integer coefficients. Specifically, it proves that any subset of the rational numbers within the unit ball that is closed under complex conjugation and contains 0 can be the exceptional set of uncountably many transcendental functions with integer coefficients. The proof combines key lemmas, including one that constructs a function vanishing at a single point and nowhere else in the

Author

pedro souza

Language

EN