Oscillations of the remainder term related to the Euler totient function

DOI10.1016/j.jnt.2010.06.010zbMath1210.11104OpenAlexW2026961507MaRDI QIDQ710503

Jerzy Kaczorowski, Kazimierz Wiertelak

Publication date: 19 October 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.06.010

zbMATH Keywords

Riemann hypothesisEuler totient functionomega theoremsoscillations of the remainder term

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (7)

ON THE SUM OF THE TWISTED EULER FUNCTION ⋮ On the solution of the Volterra integral equation of second type for the error term in an asymptotic formula for arithmetical functions ⋮ ON THE VOLTERRA INTEGRAL EQUATION FOR THE REMAINDER TERM IN THE ASYMPTOTIC FORMULA ON THE ASSOCIATED EULER TOTIENT FUNCTION ⋮ The probability that two random integers are coprime ⋮ Products of Farey Fractions ⋮ Omega theorems related to the general Euler totient function ⋮ Asymptotic formula for balanced words

Cites Work

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• On the distribution of irreducible algebraic integers
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• Fluctuations in the mean of Euler's phi function
• Contributions to the analytic theory of numbers
• Smoothing arithmetic error terms: the case of the Euler φ function
• On sign-changes in the remainder-term of the prime-number formula, I
• On sign-changes in the remainder-term of the prime-number formula, II
• Oscillations of a given size of some arithmetic error terms
• Ω-estimates for a class of arithmetic error terms

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