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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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The Schnirelmann density of the sums of three squares
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by Samuel S. Wagstaff
Proc. Amer. Math. Soc. 52 (1975), 1-7
DOI: https://doi.org/10.1090/S0002-9939-1975-0379425-4

Abstract:

The number in the title is $5/6$, which is the same as the asymptotic density of the set. The best possible upper and lower bounds (of the form $5x/6 + A + B\log x$) are obtained for the number of positive integers less than $x$ which are a sum of three squares.
References
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Bibliographic Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 52 (1975), 1-7
  • MSC: Primary 10L10
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0379425-4
  • MathSciNet review: 0379425