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# On the Distribution Function of Additive Functions

@inproceedings{ERDS2004OnTD, title={On the Distribution Function of Additive Functions}, author={Br P. ERD{\"O}S}, year={2004} }

- Published 2004

where f'(p) = f(p) for I f(p) j <= 1 and f(p) = 1 otherwise . It can be noted that the existence of the distribution function does not depend on the values f(p"), a > 1, and that the existence of the distribution function cannot be destroyed by the behavior of f (p) on a sequence of primes r where Y, 1/ ri < . Let us now assume that Ep(f'(p))2/p diverges. The distribution function of course does not exist . We define F(m) by F(m) = f(m) [f(m)]. ([a] denotes the greatest integer <_ a.) We shall… CONTINUE READING

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