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Problems and results on additive properties of general sequences, V

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Abstract

A very special case of one of the theorems of the authors states as follows: Let 1≤a 1≤a 2≤... be an infinite sequence of integers for which all the sumsa i +a j , 1≤i≤j, are distinct. Then there are infinitely many integersk for which 2k can be represented in the forma i +a j but 2k+1 cannot be represented in this form. Several unsolved problems are stated.

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References

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Authors and Affiliations

  1. Mathematical Institute, Hungarian Academy of Sciences, Realtanoda u. 13-15, Budapest, Hungary

    P. Erdös, A. Sárközy & V. T. Sós

Authors
  1. P. Erdös
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  2. A. Sárközy
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  3. V. T. Sós
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Dedicated to our friend Professor E. Hlawka on the occasion of his seventieth birthday

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Erdös, P., Sárközy, A. & Sós, V.T. Problems and results on additive properties of general sequences, V. Monatshefte für Mathematik 102, 183–197 (1986). https://doi.org/10.1007/BF01294598

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  • DOI: https://doi.org/10.1007/BF01294598

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