# On some numerical functions

@inproceedings{Popescu1995OnSN, title={On some numerical functions}, author={Marcela Popescu and Paul Popescu and Vasile Seleacu}, year={1995} }

In this pa.per we prove that the following numerical functions: l!'(%) 1. Fs: N-N, Fs(x) = Z S(pf), where Pi are the prime na.tural numbers which i=l are not greater than x and ~(x) is the number of them, 2. 8 : N-N, 8(x) = Z S(pf) , where p, a.re the prime na.tural numbers which divide x, 3. e: N-N, 8(x) = Z S(pf) , where PiMe the prime na.tul&l numbers which Me Pi'l-% smaller than x and do not divide x, which involve the SmMandache function, does not verify the Lipschitz condition. These… CONTINUE READING