On some inequalities concerning {$\pi(x)$}

R. Garunkštis

doi:em/1062621222

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Home > Journals > Experiment. Math. > Volume 11 > Issue 2 > Article

2002 On some inequalities concerning {$\pi(x)$}

R. Garunkštis

Experiment. Math. 11(2): 297-301 (2002).

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Abstract

We investigate the inequalities {\small $\pi(M+N)\leq a\pi(M/a)+\pi(N)$} and {\small $\pi(M+N)\leq a\left(\pi(M/a)+\pi(N/a)\right)$} with {\small $a\ge1$}.