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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.

 

Lagrange’s theorem with $N^{1/3}$ squares
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by S. L. G. Choi, Paul Erdős and Melvyn B. Nathanson PDF
Proc. Amer. Math. Soc. 79 (1980), 203-205 Request permission

Abstract:

For every $N > 1$ we construct a set A of squares such that $|A| < (4/\log 2){N^{1/3}} \log N$ and every nonnegative integer $n \leqslant N$ is a sum of four squares belonging to A.
References
  • J. Gani and V. K. Rohatgi (eds.), Contributions to probability, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1981. A collection of papers dedicated to Eugene Lukacs. MR 618672
  • Erich Härtter and Joachim Zöllner, Darstellungen natürlicher Zahlen als Summe und als Differenz von Quadraten, Norske Vid. Selsk. Skr. (Trondheim) 1 (1977), 8 (German, with English summary). MR 506101
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 79 (1980), 203-205
  • MSC: Primary 10J05
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0565338-3
  • MathSciNet review: 565338