On iterates of ez
نویسندگان
چکیده
منابع مشابه
On Linear Dependence of Iterates
A functional equation related to a problem of linear dependence of iterates is considered.
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1. Introduction. For any arithmetic function f(n), we denote its iterates as follows : f l (n) = f (n) , fk (n) = fl[ fk_1(n) ] (k > 1). Let a(n) and a* (n) denote,'respectívely, the sum of the divisors of n, and the sum of its unitary divisors, where we recall that d is called a unitary divisor of n if (d,n/d) = 1. Makowski and Schinzel [3] proved that and conjectured that ak (n) lim inf n < o...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 1981
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s014338570000119x