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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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.

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On $k$-free integers with small prime factors
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by D. G. Hazlewood PDF
Proc. Amer. Math. Soc. 52 (1975), 40-44 Request permission

Abstract:

The object of this note is to give a nontrivial lower estimate for the function ${\psi _k}(x,y;h)$, defined to be the number of $k$-free integers $m$ such that $1 \leqslant m < x, (m,h) = 1$, and $m$ has no prime factor greater than or equal to $y$.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 52 (1975), 40-44
  • MSC: Primary 10H25
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0374056-4
  • MathSciNet review: 0374056