Oscillatory properties of arithmetical functions. I

DOI10.1007/BF01949062zbMath0613.10036OpenAlexW4252846784MaRDI QIDQ1088715

Jerzy Kaczorowski, János Pintz

Publication date: 1986

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01949062

zbMATH Keywords

sign changespartial sums of arithmetical functions

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37)

Related Items (13)

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) ⋮ Moments of moments of primes in arithmetic progressions ⋮ Disproving Hooley's conjecture ⋮ On a conjecture of Montgomery and Soundararajan ⋮ 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 ⋮ Irrational factor races ⋮ Smoothing arithmetic error terms: the case of the Euler φ function ⋮ Über Vorzeichenwechsel einiger arithmetischer Funktionen. III. (On sign-changes of certain arithmetical functions. III) ⋮ Oscillations of a given size of some arithmetic error terms ⋮ On the sign changes in the remainder term of an asymptotic formula for the number of square-free numbers

Cites Work

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• On some generalizations of theorems by Landau and Polya
• On the Zeros of the Riemann Zeta Function in the Critical Strip. II
• Oscillation Theorems of Arithmetical Functions
• Calculation of Dirichlet L-Functions

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