24. Let f be an arithmetical function (not ne multiplicative arithmetical function g s S fl(k,n)) = (f+al(n). f((k.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 19E
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24. Let f be an arithmetical function (not necessarily multiplicative). Prove that there is
a multiplicative arithmetical function g such that
ES(k,n)) = (f * g)(n),
where (k, n)
ged(k, n).
k=1
Transcribed Image Text:24. Let f be an arithmetical function (not necessarily multiplicative). Prove that there is a multiplicative arithmetical function g such that ES(k,n)) = (f * g)(n), where (k, n) ged(k, n). k=1
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