On some Properties Concerning the Function α(n)=n-φ(n)
Minorations pour les mesures de Mahler de certains polynômes particuliers
Dans cet article nous donnons des minorations de la mesure de Mahler des polynômes totalement positifs et totalement réels. Ces résultats sont supérieurs à ceux obtenus par A. Schinzel, M. J. Bertin et V. Flammang.
Inequalities concerning the function π(x): Applications
Introduction. In this note we use the following standard notations: π(x) is the number of primes not exceeding x, while . The best known inequalities involving the function π(x) are the ones obtained in [6] by B. Rosser and L. Schoenfeld: (1) x/(log x - 1/2) < π(x) for x ≥ 67 (2) x/(log x - 3/2) > π(x) for . The proof of the above inequalities is not elementary and is based on the first 25 000 zeros of the Riemann function ξ(s) obtained by D. H. Lehmer [4]. Then Rosser, Yohe and Schoenfeld...
Some properties of the series of composed numbers.
On the sequence .
Consequences of a theorem of Erdős-Prachar.
Erdős-Turán type inequalities.
On Obláth's problem.
Inequalities on polynomial heights.
New inequalities on polynomial divisors.
Properties of non powerful numbers.
Properties of some functions connected to prime numbers.
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