Square-free values of the Carmichael function |
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Authors: | Francesco Pappalardi |
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Affiliation: | a Dipartimento di Matematica, Università degli Studi Roma Tre Largo S.L. Murialdo, 1, Roma 00146, Italy b Department of Mathematics, University of Calgary, Calgary, Al., Canada TN2 1N4 c Department of Computing, Macquarie University, Sydney, NSW 2109, Australia |
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Abstract: | We obtain an asymptotic formula for the number of square-free values among p−1, for primes p?x, and we apply it to derive the following asymptotic formula for L(x), the number of square-free values of the Carmichael function λ(n) for 1?n?x, |
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Keywords: | Square-free integers Carmichael function Wirsing theorem |
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