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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On the number of positive integers $\leqq x$ all of whose prime factors are $\leqq y$
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by S. Chowla and W. E. Briggs
Proc. Amer. Math. Soc. 6 (1955), 558-562
DOI: https://doi.org/10.1090/S0002-9939-1955-0071449-7
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References
  • N. G. De Bruijn, On the number of uncancelled elements in the sieve of Eratosthenes, Nederl. Akad. Wetensch., Proc. 53 (1950), 803–812 = Indagationes Math. 12, 247–256 (1950). MR 35785
  • N. G. de Bruijn, On the number of positive integers $\leq x$ and free of prime factors $>y$, Nederl. Akad. Wetensch. Proc. Ser. A 54 (1951), 50–60. MR 0046375
    • E. Landau, Vorlesungen über Zahlentheorie, vol. II, New York, 1947. I. M. Vinogradoff, Some theorems concerning the theory of primes, Mat. Sbornik (2) vol. 44 (1937).
  • S. D. Chowla and T. Vijayaraghavan, On the largest prime divisors of numbers, J. Indian Math. Soc. (N.S.) 11 (1947), 31–37. MR 23269
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Bibliographic Information
  • © Copyright 1955 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 6 (1955), 558-562
  • MSC: Primary 10.0X
  • DOI: https://doi.org/10.1090/S0002-9939-1955-0071449-7
  • MathSciNet review: 0071449