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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Mean value theorems for arithmetic functions similar to Euler’s phi-function
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by Kent Wooldridge PDF
Proc. Amer. Math. Soc. 58 (1976), 73-78 Request permission

Abstract:

This paper establishes mean value results for multiplicative functions satisfying $f({p^e}) = {p^{e - 1}}f(p)$ as well as certain conditions on the differences $f(p) - p$.
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 58 (1976), 73-78
  • MSC: Primary 10H25
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0414505-7
  • MathSciNet review: 0414505