7. Prove each of the following statements.(a) If q is a prime number not equal to 3 and k = 3q, then o(k) = 2 (T(k) + ¢(k)).%3D(b) If q is an odd prime number and k = 2q, then k = o(k) – T(k) – ¢(k).-

Solution: We know that, for any positive integer n, τn=The number of positive divisors of nσn=The…

Answered: Prove each of the following statements.…

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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Prove each of the following statements. (a) If q is a prime number not equal to 3 and k = 3q, then o(k) = 2 (T(k)+ ¢(k)). (b) If q is an odd prime number and k = 2q, then k = o(k) – T(k) – o(k).