Show that Ekin d(k)3 = (Ekn d(k))2 for all positive integer n. %3D

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 46E: Use generalized induction and Exercise 43 to prove that n22n for all integers n5. (In connection...
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18

18. Show that Ekin d(k)3 =
(Exin d(k))? for all positive integer n.
%3D
19. Prove that Edin H(d) log" d = 0 if m 1 and n has more than m distinct prime factors.
(Hint: use induction on m).
Transcribed Image Text:18. Show that Ekin d(k)3 = (Exin d(k))? for all positive integer n. %3D 19. Prove that Edin H(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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