We show that on a short interval, x < n ≤ x + w, the average value of a complex-valued multiplicative function f(n) that is sufficiently close to 1 on primes and bounded on prime powers, tends to C _f = Π _P (1 - 1/p) (1 + f(p)/p+ f(p ~2)/p ~2 + ...), provided the interval is sufficiently long with respect to x.
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