For any n > 1, let o(n) be the number of positive integers a < n with gcd(a, n) = 1. Thisfunction is called the totient function.(a) Prove that if n = pq is the product of two distinct primes, o(n) = (p − 1)(q − 1)(b) Prove that if p is prime, (p²) = p(p − 1).

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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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For any n> 1, let (n) be the number of positive integers a