ID | 54715 |
フルテキストURL | |
著者 |
Defant, Colin
Department of Mathematics, University of Florida
|
抄録 | 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. |
キーワード | Iterated function
Dedekind function
additive function
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発行日 | 2017-01
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出版物タイトル |
Mathematical Journal of Okayama University
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巻 | 59巻
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号 | 1号
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出版者 | Department of Mathematics, Faculty of Science, Okayama University
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開始ページ | 81
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終了ページ | 92
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ISSN | 0030-1566
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NCID | AA00723502
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資料タイプ |
学術雑誌論文
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オフィシャル URL | http://www.math.okayama-u.ac.jp/mjou/
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言語 |
英語
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著作権者 | Copyright©2017 by the Editorial Board of Mathematical Journal of Okayama University
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論文のバージョン | publisher
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査読 |
有り
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Submission Path | mjou/vol59/iss1/6
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JaLCDOI |