On sign-changes in the remainder-term of the prime-number formula, I

DOI10.4064/aa-44-4-365-377zbMath0555.10023OpenAlexW1564161608MaRDI QIDQ3218204

Jerzy Kaczorowski

Publication date: 1984

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/205946

zbMATH Keywords

prime number theoremexplicit formulaserror termsnumber of sign changesLittlewood's method

Mathematics Subject Classification ID

Distribution of primes (11N05)

Related Items (13)

On the average value of ⋮ Oscillatory properties of arithmetical functions. II ⋮ Über Vorzeichenwechsel einiger arithmetischer Funktionen. I. (On sign- changes of certain arithmetical functions. I) ⋮ Über Vorzeichenwechsel einiger arithmetischer Funktionen. II. (On sign- changes of certain arithmetical functions. II) ⋮ Changes of sign of the error term in the prime number theorem ⋮ New estimates for some integrals of functions defined over primes ⋮ On a method of estimating from below the number of sign changes of arithmetic functions. ⋮ Oscillations of the remainder term related to the Euler totient function ⋮ Ω-estimates related to irreducible algebraic integers ⋮ Smoothing arithmetic error terms: the case of the Euler φ function ⋮ Oscillations of a given size of some arithmetic error terms ⋮ Sign changes in the prime number theorem ⋮ On the sign changes in the remainder term of an asymptotic formula for the number of square-free numbers

This page was built for publication: On sign-changes in the remainder-term of the prime-number formula, I