ID | 54715 |
FullText URL | |
Author |
Defant, Colin
Department of Mathematics, University of Florida
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Abstract | We define ψ‾ to be the multiplicative arithmetic function that satisfies
for all primes p and positive integers α. Let λ(n) be the number of iterations of the function ψ‾ needed for n to reach 2. It follows from a theorem due to White that λ is additive. Following Shapiro's work on the iterated φ function, we determine bounds for λ. We also use the function λ to partition the set of positive integers into three sets S1, S2, S3 and determine some properties of these sets. |
Keywords | Iterated function
Dedekind function
additive function
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Published Date | 2017-01
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Publication Title |
Mathematical Journal of Okayama University
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Volume | volume59
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Issue | issue1
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Publisher | Department of Mathematics, Faculty of Science, Okayama University
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Start Page | 81
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End Page | 92
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ISSN | 0030-1566
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NCID | AA00723502
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Content Type |
Journal Article
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Official Url | http://www.math.okayama-u.ac.jp/mjou/
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language |
English
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Copyright Holders | Copyright©2017 by the Editorial Board of Mathematical Journal of Okayama University
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File Version | publisher
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Refereed |
True
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Submission Path | mjou/vol59/iss1/6
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JaLCDOI |