NEST2021MathematicsBasics of Mathematics
Let (n) be the MÅ‘bius function defined for positive integers by (n)= cases 1 & if n=1 0 & if p^2 divides n, for some prime number p (-1)^r & if n=p₁ p₂ p_r, with prime numbers p₁ p₂ p_r cases Let m, n be positive integers 1 . Then
Options
- A( (n)+ (n^2 ) )^2=1
- B( (m)+ (n))^2=4 (m) (n) if gcd (m, n)=1
- CIf (n) 0 and n divides m , then ( m n )= (m) (n)
- D(n m)= (n) (m) if gcd (m, n)=1
Correct answer
D. (n m)= (n) (m) if gcd (m, n)=1
Step-by-step solution
No solution available.