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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Mean value theorems for arithmetic functions similar to Euler's phi-function


Author: Kent Wooldridge
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
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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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DOI: https://doi.org/10.1090/S0002-9939-1976-0414505-7
Keywords: Multiplicative function, mean value, Dirichlet series, Euler's function
Article copyright: © Copyright 1976 American Mathematical Society

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