Representing powers of 2 by a sum of four integers

Abstract

We solve an arithmetic problem due to Erdös and Freud (1986) investigated also by Freiman, Nathanson and Sárközy: How many elements from a given set of integers one must take to represent a power of 2 by their sum?

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Lev, V.F. Representing powers of 2 by a sum of four integers. Combinatorica 16, 413–416 (1996). https://doi.org/10.1007/BF01261325

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Mathematics Subject Classification (1991)

  • 05 A 05
  • 11 B 13
  • 11 B 05