Browsing Mathematics publications (MU) by Author "Saidak, Filip"
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Compositions with the Euler and Carmichael Functions
Banks, William David, 1964; Luca, Florian; Saidak, Filip; Stănică, Pantelimon (Springer Verlag, 2005)Let ' and _ be the Euler and Carmichael functions, respectively. In this paper, we establish lower and upper bounds for the number of positive integers n ≤ x such that '(_(n)) = _('(n)). We also study the normal order of ... 
Values of Arithmetical Functions Equal to a Sum of Two Squares
Banks, William David, 1964; Luca, Florian; Saidak, Filip; Shparlinski, Igor E. (Oxford University Press, 2005)Let '(n) denote the Euler function. In this paper, we determine the order of growth for the number of positive integers n ≤ x for which '(n) is the sum of two square numbers. We also obtain similar results for the Dedekind ...