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Square-free values of the Carmichael function
Authors:Francesco Pappalardi
Institution: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
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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