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Finite and Infinite Arithmetic Progressions Related to Beta-Expansion

Author

Listed:
  • Bing Li
  • Chao Ma

Abstract

Let and be the -expansion of . Denote by the set of positions where the digit 1 appears in . We consider the sets of points such that contains arbitrarily long arithmetic progressions and includes infinite arithmetic progressions, respectively. Their sizes are investigated from the topological, metric, and dimensional viewpoints.

Suggested Citation

  • Bing Li & Chao Ma, 2014. "Finite and Infinite Arithmetic Progressions Related to Beta-Expansion," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, August.
    • Handle: RePEc:hin:jnlaaa:678769
    DOI: 10.1155/2014/678769
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