A characterization of the identity function with equation f(p+q+r)=f(p)+f(q)+f(r)
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Abstract
Let f(n) be a multiplicative function such that there exists a prime p 0 at which f does not vanish. In this paper, we prove that if f satisfies the equation f(p+q+r)=f(p)+f(q)+f(r) for all primes p, q and r, then f(n)=n for all integers n≥1.
Mathematics Subject Classification (2000)
11A25Preview
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