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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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On the factorization of integrers
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by R. L. Duncan
Proc. Amer. Math. Soc. 25 (1970), 191-192
DOI: https://doi.org/10.1090/S0002-9939-1970-0252311-1
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Abstract:

The order of magnitude of the average of the exponents in the canonical factorization of an integer is discussed. In particular, it is shown that this average has normal order one and a result which implies that the average order is one is also derived.
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Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 25 (1970), 191-192
  • MSC: Primary 10.07
  • DOI: https://doi.org/10.1090/S0002-9939-1970-0252311-1
  • MathSciNet review: 0252311