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The Solution of a Special Arithmetic Equation

Published online by Cambridge University Press:  20 November 2018

Miriam Hausman
Miriam Hausman*
Affiliation:
Baruch College, CUNY, New York, N.Y, 10010
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Abstract

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Writing ϕl(n) = ϕ(ϕl−1(n)), the integers n which are solutions of n = kϕl (n) are considered. The set of all such n is completely characterized.

Keywords

410A20Euler ϕ-functionarithmetic equation.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 1 , 01 March 1982, pp. 114 - 117
Copyright
Copyright © Canadian Mathematical Society 1982

References

1. Shapiro, Harold N., An Arithmetic Function Arising from the ϕ Function, American Mathematical Monthly, Vol. L, No. 1, 1943 pp. 18-30.Google Scholar