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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Two proofs in combinatorial number theory
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by Jaroslav Nešetřil and Vojtěch Rödl
Proc. Amer. Math. Soc. 93 (1985), 185-188
DOI: https://doi.org/10.1090/S0002-9939-1985-0766553-0
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Abstract:

The aim of this paper is to present a short combinatorial proof of a theorem of P. Erdős on multiplicative bases of integers. A solution of a problem of P. Erdős and D. J. Newman is also presented.
References
  • P. Erdős, On the multiplicative representation of integers, Israel J. Math. 2 (1964), 251–261. MR 181619, DOI 10.1007/BF02759742
  • P. Erdős, Some applications of Ramsey’s theorem to additive number theory, European J. Combin. 1 (1980), no. 1, 43–46. MR 576765, DOI 10.1016/S0195-6698(80)80020-5
    • J. Nešetřil and V. Rödl, Simple proof of the existence of restricted Ramsey graphs by means of partite construction, Combinatorica 2 (1981), 199-202.
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Bibliographic Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 93 (1985), 185-188
  • MSC: Primary 11P68; Secondary 05A17
  • DOI: https://doi.org/10.1090/S0002-9939-1985-0766553-0
  • MathSciNet review: 766553