Expressions using generalized Beatty sequences characterize the natural numbers with a 1 at the kth digit in the base-phi representation, proving conjectures for k=0 and 1.
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2 Pith papers cite this work. Polarity classification is still indexing.
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2019 2verdicts
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The paper studies conditions on S and abelian complexity of infinite words x that guarantee S(L_x) contains all but finitely many naturals, examining this for specific words with varying abelian complexities.
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Base phi representations and golden mean beta-expansions
Expressions using generalized Beatty sequences characterize the natural numbers with a 1 at the kth digit in the base-phi representation, proving conjectures for k=0 and 1.
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The abelian complexity of infinite words and the Frobenius problem
The paper studies conditions on S and abelian complexity of infinite words x that guarantee S(L_x) contains all but finitely many naturals, examining this for specific words with varying abelian complexities.