A characterization of the identity function with equation f(p plus q plus r)=f(p) plus f(q) plus f(r)

作者：Fang, Jin-Hui^*

来源：Combinatorica, 2011, 31(6): 697-701.

DOI：10.1007/s00493-011-2739-8

• ADDITIVE UNIQUENESS SETS

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.

• 出版日期2011-12
• 单位南京信息工程大学