18. Show that Σkind(k)³ = (Σk|n d(k))² for all positive integer n.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 31E
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18
![18. Show that kind(k)³ = (Σk|n d(k))² for all positive integer n.
19. Prove that Σdn (d) log" d = 0 if m > 1 and n has more than m distinct prime factors.
(Hint: use induction on m).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87be6314-ed6e-41fc-927b-61628621936f%2Fb3ca415e-378a-4b75-867c-150126aa2009%2Fkx7yvrr_processed.png&w=3840&q=75)
Transcribed Image Text:18. Show that kind(k)³ = (Σk|n d(k))² for all positive integer n.
19. Prove that Σdn (d) log" d = 0 if m > 1 and n has more than m distinct prime factors.
(Hint: use induction on m).
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