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A Problem of Erdős and Kátai
Published online by Cambridge University Press: 26 February 2010
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In this paper I prove the following result:
Theorem. Let f(d) be a multiplicative function such that |f(d)| ≤ 1 and ∑{ l/p : p ε P} = ∞, where P denotes the set of primes p for which f{p) = −1, and let v(n) denote the number of distinct prime factors ofn. Then for almost all n,
where A is an arbitrary constant > 3/e.
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