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

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Two proofs in combinatorial number theory
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by Jaroslav Nešetřil and Vojtěch Rödl PDF
Proc. Amer. Math. Soc. 93 (1985), 185-188 Request permission

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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Additional 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