Let p. geN be distinct primes and set m = (p- 1)(g - 1). If z€ Zis such that ged(z, m) = 1 and y is its inverse in Z/m, then which one of the following statementsis true?Select one:azv -1 mod pg for any a e Z.All of the other statements are false.Both congruences, a-a mod pand a-a mod q, hold for any a e Z.- z(m) mod m, where o is Euler's totient function.a mod m for any a € Z

we have given that p and q are distinct prime . m=(p-1)(q-1) x is element such that (x,m)=1 and y is…

m.uiell is true? Select one: -1 mod pyfor any a Z. All of the other statements are false. Both congruences, a-. mod pand a"-a mod q. hold for any a e Zz. y- m) mod m, where is Euler's totient function. a mod m for any a €Z

m.uiell is true? Select one: -1 mod pyfor any a Z. All of the other statements are false. Both congruences, a-. mod pand a"-a mod q. hold for any a e Zz. y- m) mod m, where is Euler's totient function. a mod m for any a €Z

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

Let p. geN be distinct primes and set m = (p- 1)(g - 1). If z€ Zis such that ged(z, m) = 1 and y is its inverse in Z/m, then which one of the following statements
is true?
Select one:
azv -1 mod pg for any a e Z.
All of the other statements are false.
Both congruences, a-a mod pand a-a mod q, hold for any a e Z.
- z(m) mod m, where o is Euler's totient function.
a mod m for any a € Z

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