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 $a\ge1$}.
Citation
R. Garunkštis. "On some inequalities concerning {$\pi(x)$}." Experiment. Math. 11 (2) 297 - 301, 2002.
Information
Published: 2002
First available in Project Euclid: 3 September 2003
zbMATH: 1116.11317
MathSciNet: MR1959270
Subjects:
Primary:
11N05
Keywords:
Distribution of prime numbers
,
Hardy-Littlewood's conjecture
,
prime counting function
Rights: Copyright © 2002 A K Peters, Ltd.
