The Existence of a Distribution Function for an Error Term Related to the Euler Function

DOI10.4153/CJM-1955-009-5zbMath0067.27601OpenAlexW2077657016MaRDI QIDQ3228682

Harold N. Shapiro, Paul Erdős

Publication date: 1955

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1955-009-5

zbMATH Keywords

number theory

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (8)

Sign changes of error terms related to the Euler function ⋮ Frequency of oscillations of an error term related to the Euler function ⋮ Oscillations d'un terme d'erreur lié à la fonction totient de Jordan ⋮ Addition of functions in probabilistic number theory ⋮ Erdős and the integers ⋮ On the existence of limiting distributions of some number-theoretic error terms ⋮ The distribution of consecutive prime biases and sums of sawtooth random variables ⋮ Distribution of values of a real function. Means, moments, and symmetry

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