The von Mangoldt function returns this value if the input is not a power of a prime. The Legendresymbol returns this value if the numerator is a multiple of the prime denominator. The Mobius functionreturns this value if the input is not square-free. This value is used to denote the absorbing elemen
The von Mangoldt function returns this value if the input is not a power of a prime. The Legendresymbol returns this value if the numerator is a multiple of the prime denominator. The Mobius functionreturns this value if the input is not square-free. This value is used to denote the absorbing element of asemigroup or semiring. The Riemann zeta fuction takes this value at all negative even integers, though it isan open question whether all of the other such values all have real part one-half. This value is returnedwhen a number is added to its additive inverse. For 10 points, name this only non-positive and non-negativeinteger, the additive identity.
The von Mangoldt function returns this value if the input is not a power of a prime.
zero