Compositions with the Euler and Carmichael Functions

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Compositions with the Euler and Carmichael Functions

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/10838

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Title: Compositions with the Euler and Carmichael Functions
Author: Banks, William David, 1964-; Luca, Florian; Saidak, Filip; Stănică, Pantelimon
Keywords: Euler function
Carmichael function
positive integers
Date: 2005
Publisher: Springer Verlag
Citation: Abh. Math. Sem. Hamburg, 75 (2005), 215-243.
Abstract: 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 the function '(_(n))/_('(n)).
URI: http://hdl.handle.net/10355/10838
ISSN: 0025-5858

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  • Mathematics publications (MU) [119]
    The items in this collection are the scholarly output of the faculty, staff, and students of the Department of Mathematics.

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