Diophantine properties of real numbers generated by finite automata
classification
🧮 math.NT
keywords
numbersdiophantinefinitegeneratedpropertiesrealadicautomata
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We study some diophantine properties of automatic real numbers and we present a method to derive irrationality measures for such numbers. As a consequence, we prove that the $b$-adic expansion of a Liouville number cannot be generated by a finite automaton, a conjecture due to Shallit.
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