Positive Rational Numbers of the Form φ(m2)/φ(n2)

Positive Rational Numbers of the Form φ(m2)/φ(n2)

In this note, we show that each positive rational number can be written uniquely as φ(m2)/φ(n2) , where m, n∈N , with some natural restrictions on gcd(m,n) .

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Bibliographische Detailangaben
Veröffentlicht in:The American mathematical monthly 2021-02, Vol.128 (2), p.174-176
Hauptverfasser: Li, Hongjian, Yuan, Pingzhi, Bai, Hairong
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical problems
Numbers
Theorems
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Zusammenfassung:In this note, we show that each positive rational number can be written uniquely as φ(m2)/φ(n2) , where m, n∈N , with some natural restrictions on gcd(m,n) .
ISSN:0002-9890
1930-0972
DOI:10.1080/00029890.2021.1850142