Browsing Mathematics publications (MU) by Identifier "0065-1036"

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  • Coincidences in the values of the Euler and Carmichael functions 

    Banks, William David, 1964-; Friedlander, J. B. (John B.); Luca, Florian; Pappalardi, Francesco; Shparlinski, Igor E. (Polish Academy of Sciences, Institute of Mathematics, 2006)
    The Euler function has long been regarded as one of the most basic of the arithmetic functions. More recently, partly driven by the rise in importance of computational number theory, the Carmichael function has drawn an ...

  • Roughly squarefree values of the Euler and Carmichael functions 

    Banks, William David, 1964-; Luca, Florian (Polish Academy of Sciences, Institute of Mathematics, 2005)
    Let ' denote the Euler function. In this paper, we estimate the number of positive integers n ≤ x with the property that if a prime p > y divides '(n), then p2 ∤ '(n). We also give similar estimates for the Carmichael function _.