Από το τεύχος 45 του περιοδικού Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

This article discusses properties of the dual Euler totient function defined for n =ge 1 and n integer by a(n) = n =i(n) where i is the Euler (totient) function. Some interesting properties are proven about this function, such as that every positive rational number can be written as a ratio a(m)/a(n) for suitable m,n. Also the length of increasing or decreasing sub sequences of a(n) is studied. In the last parts of the paper a necessary and sufficient condition for a(n) to divide n is given and some results regarding the divisibility of a(n) by n-1.

Στοιχεία Άρθρου

Περιοδικό	Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Αρ. Τεύχους	Τεύχος 45
Περίοδος	2001
Συγγραφέας	Laurentiou Panaitopol
Αρ. Αρθρου	6
Σελίδες	71-77
Γλώσσα	-
Λέξεις Κλειδιά	Dirichlet, Euler function, divisibility, number theory, totient function

On some Properties Concerning the Function α(n)=n-φ(n)