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Journal of the London Mathematical Society 1933 s1-8(1):32; doi:10.1112/jlms/s1-8.1.32-s
© 1933 by London Mathematical Society
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© Oxford University Press

On a Generalization of Euler's Function {varphi}(n){ddagger}

H. Davenport

Abstract

I am indebted to Mr. A. E. Ingham for pointing out to me that the last equation in (9) is not generally true. The results are not affected, and the matter is brought into order by reading for the line following (9): "where |{varepsilon}(n)| ≤ 1 if {lambda} ≥ 0", and by replacing (10) by


Formula

I am also indebted to Dr. Walfisz for pointing out to me that the expression for {varphi}{alpha}(n in (c) of Theorem 1 should have a term {n{alpha} {varphi}(n);/({alpha} + 1) added to it. The equation for S (d) at the top of p. 293 is in fact incorrect; a term d{alpha}+1/({alpha} + 1) has been omitted from its right-hand side.

Footnotes

{ddagger} Journal London Math. Soc.., 7 (1982), 290–296.


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