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On the number of positive integers $ \leqq x$ all of whose prime factors are $ \leqq y$


Authors: S. Chowla and W. E. Briggs
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
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References [Enhancements On Off] (What's this?)

  • [1] N. G. de Bruijn, On the number of uncancelled elements in the sieve of Erathosthenes, Neder. Akad. Wetensch. Ser. A vol. 53 (1950) pp. 803-812. MR 0035785 (12:11d)
  • [2] -, On the number of positive integers $ \leqq X$ and free of prime factors $ > Y$, ibid. vol. 54 (1951) pp. 50-60. MR 0046375 (13:724e)
  • [3] E. Landau, Vorlesungen über Zahlentheorie, vol. II, New York, 1947.
  • [4] I. M. Vinogradoff, Some theorems concerning the theory of primes, Mat. Sbornik (2) vol. 44 (1937).
  • [5] S. D. Chowla and T. Vijayaraghavan, On the largest prime divisors of numbers, J. Indian Math. Soc. vol. 11 (1947) pp. 31-37. MR 0023269 (9:332d)

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DOI: https://doi.org/10.1090/S0002-9939-1955-0071449-7
Article copyright: © Copyright 1955 American Mathematical Society

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