(a) Suppose that n > 1 is an integer with prime factorization n = pf"p.p. Prove that(k, + 1)(k, + 2)ET(d) = |k1 + 1)(k, + 2)] [(k2 + 1)(k2 + 2)]...22d|nп(п+1)Hint: The formula Ei= "+ may be useful(b) Prove that if n >1 is an even integer then >Hd¢(d) = 0d|n

As both of them are different questions(not a subpart of other), so as per the guideline, I am…

(a) Suppose that n > 1 is an integer with prime factorization n = pf"p.p. Prove that (k, + 1)(k, + 2) ET(d) = |k1 + 1)(k, + 2)] [(k2 + 1)(k2 + 2)] ... 2 2 2 d|n Hint: The formula Ei = "(+1 may be useful %3D

(a) Suppose that n > 1 is an integer with prime factorization n = pf"p.p. Prove that (k, + 1)(k, + 2) ET(d) = |k1 + 1)(k, + 2)] [(k2 + 1)(k2 + 2)] ... 2 2 2 d|n Hint: The formula Ei = "(+1 may be useful %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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