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Carmichael Numbers with a Square Totient |
Canad. Math. Bull. 52(2009), 3-8
Published:2009-03-01
Printed: Mar 2009
Printed: Mar 2009
- W. D. Banks
Abstract
Let $\varphi$ denote the Euler function. In this paper, we show that
for all large $x$ there are more than $x^{0.33}$ Carmichael numbers
$n\le x$ with the property that $\varphi(n)$ is a perfect square. We
also obtain similar results for higher powers.
| MSC Classifications: |
11N25 - Distribution of integers with specified multiplicative constraints 11A25 - Arithmetic functions; related numbers; inversion formulas |