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Sums of Digits, Overlaps, and Palindromes

Let s_k(n) denote the sum of the digits in the base-k representation of n. In a celebrated paper, Thue showed that the infinite word (s_2(n) \bmod 2)_n≥ 0 is \emphoverlap-free, i.e., contains no subword of the form axaxa where x is any finite word and a is a single symbol. Let k,m be integers with k...

Ausführliche Beschreibung

Gespeichert in:
Bibliografische Detailangaben
Hauptverfasser: Jean-Paul Allouche, Jeffrey Shallit
Format: Artigo
Sprache:Inglês
Veröffentlicht: Discrete Mathematics & Theoretical Computer Science 2000-01-01
Schriftenreihe:Discrete Mathematics & Theoretical Computer Science
Schlagworte:
Online-Zugang:https://dmtcs.episciences.org/282/pdf
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