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If m, n are relatively prime, then o(mn) = o(m)o(n)

If m, n are relatively prime, then o(mn) = o(m)o(n)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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 The Euler totient function is defined as ϕ (m) = |{k : 1 ≤ k ≤ m gcd(k, m) = 1}|,  or rather the number of relatively prime positive integers smaller than or equal to m.

The Task is to prove the following: 

 

If m, n are relatively prime, then o(mn) = o(m)o(n)
Transcribed Image Text:If m, n are relatively prime, then o(mn) = o(m)o(n)
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