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- W2767128887 abstract "Cobham's theorem asserts that if a sequence is automatic with respect to two multiplicatively independent bases, then it is ultimately periodic. We prove a stronger density version of the result: if two sequences which are automatic with respect to two multiplicatively independent bases coincide on a set of density one, then they also coincide on a set of density one with a periodic sequence. We apply the result to a problem of Deshouillers and Ruzsa concerning the least nonzero digit of $n!$ in base $12$." @default.
- W2767128887 created "2017-11-10" @default.
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- W2767128887 date "2017-10-19" @default.
- W2767128887 modified "2023-09-27" @default.
- W2767128887 title "A density version of Cobham's theorem" @default.
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