The number of preimages of iterates of \(\phi\) and \(\sigma\)

DOI10.1016/j.jnt.2023.12.002arXiv2401.04073OpenAlexW4391179514MaRDI QIDQ6150380

Agbolade Akande

Publication date: 6 March 2024

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

Full work available at URL: https://arxiv.org/abs/2401.04073

zbMATH Keywords

iterates of arithmetic functionsasymptotic bounds on arithmetic functionspreimages of arithmetic functions

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25) Distribution of integers with specified multiplicative constraints (11N25)

Cites Work

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• The distribution of numbers with many factorizations
• Smooth Values of the Iterates of the Euler Phi-Function
• Common values of the arithmetic functions ϕ and σ
• Popular values of Euler's function
• Some Normal Numbers Generated by Arithmetic Functions

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