摘要

Chen and Chen recently proposed two conjectures on the structure of multiplicative functions f for which f (p) + f (q) = f (p + q) for all odd primes p and q. In this note, we show that the second conjecture is either true unconditionally or follows from the first conjecture, depending on whether or not there is an odd prime p(0) such that f (p(0)) not equal 0.

  • 出版日期2012-4

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