17. prove that Edln H(n/d)7 and σ(n ) σ(n) Σ %3D
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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Question
17
Transcribed Image Text:= n for all n, where T(n) = d(n)
17. prove that Edn H(n/d)T(d) = 1 and Edn H(n/d)o(d)
and σ(n)- σι (n) Σaμ d.
18. Show that Ekin d(k)³ = (Dkln d(k))² for all positive integer n.
19. Prove that Edn H(d) log™ d = 0 if m >1 and n has more than m distinct prime factors.
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