The Mobius Function μ (n) : Number Theory #The #Mobius #Function #μ (n) : #Number #Theory
Number theory , like many other branches of mathematics , is often concerned with sequences of real or complex numbers. In number theory such sequences are called arithmetic functions. Definition : A real or complex - valued functions defined on the positive integers is called an arithmetical function or a number- theoretic function. The Mobius Function μ (n) : The Mobius function μ is defined as follows : μ(1) = 1 ; If n > 1 , write n = p 1 a1 + p 2 a2 + … + p k ak . Then μ( n) = ( -1 ) k if a 1 = a 2 = … = a k =1 ...