Inequalities involving \(\pi (x)\)

DOI10.4171/RSMUP/98zbMath1497.11014MaRDI QIDQ2154576

József Sándor, Horst Alzer, Man Kam Kwong

Publication date: 20 July 2022

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

zbMATH Keywords

inequalitiesLandau's theoremprime-counting function

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Primes (11A41)

Cites Work

• The prime-counting function and its analytic approximations. \(\pi(x)\) and its approximations
• Properties of the function \(f(x) = x/\pi(x)\)
• An inequality for the function \(\pi(n)\)
• Some Generalizations for a Theorem by Landau
• The large sieve
• Several approximations of π(x)
• Inequalities concerning the function π(x): Applications
• Primes in intervals
• Computing 𝜋(𝑥): the Meissel, Lehmer, Lagarias, Miller, Odlyzko method
• On Some Inequalities Concerning π(x)
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