Let n e Z with n > 0. Define an arithmetic function by (1)
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Question:
Let n e ∈ Z with n > 0. Define an arithmetic function Ψ by Ψ(1) = 1 and Ψ(n) = 2m, where m is the number of distinct prime numbers in the prime factorization
of n.
(a) Prove that p is multiplicative but not completely multiplicative.
Related Book For
College Algebra Graphs and Models
ISBN: 978-0321845405
5th edition
Authors: Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen, Judith A. Penna
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