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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Integer sets with distinct subset sums
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by P. E. Frenkel PDF
Proc. Amer. Math. Soc. 126 (1998), 3199-3200 Request permission

Abstract:

We give a simple, elementary new proof of a generalization of the following conjecture of Paul Erdős: the sum of the elements of a finite integer set with distinct subset sums is less than 2.
References
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Additional Information
  • P. E. Frenkel
  • Affiliation: Kútvölgyi út 40, Budapest 1125, Hungary
  • MR Author ID: 623969
  • Email: frenkelp@cs.elte.hu
  • Received by editor(s): April 7, 1997
  • Additional Notes: The author thanks L. Laczkó for calling his attention to the problem, and M. Laczkovich for his attention and kind help.
  • Communicated by: David E. Rohrlich
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 3199-3200
  • MSC (1991): Primary 11B13; Secondary 11B75
  • DOI: https://doi.org/10.1090/S0002-9939-98-04576-6
  • MathSciNet review: 1469406