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Reciprocals of Certain Large Additive Functions
Published online by Cambridge University Press: 20 November 2018
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Let β(n) = ∑p|nP and B(n) = ∑Pα||nαP denote the sum of distinct prime divisors of n and the sum of all prime divisors of n respectively. Both β(n) and B(n) are additive functions which are in a certain sense large (the average order of B(n) is π2n/(6 log n), [1]).
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- Copyright © Canadian Mathematical Society 1981
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