On common values of \(\varphi(n)\) and \(\sigma(m)\). I

DOI10.1007/s10474-011-0087-1zbMath1265.11092arXiv1010.5427OpenAlexW2080044013MaRDI QIDQ663077

Kevin Ford, Paul Pollack

Publication date: 13 February 2012

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

Full work available at URL: https://arxiv.org/abs/1010.5427

zbMATH Keywords

Euler's functionsum of divisors functiontotients

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (2)

On incidences of \(\varphi\) and \(\sigma\) in the function field setting ⋮ Square values of Euler's function

Cites Work

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• The distribution of totients
• An asymptotic formula for the number of smooth values of a polynomial
• Sums and products of sets and estimates of rational trigonometric sums in fields of prime order
• Common values of the arithmetic functions ϕ and σ
• On the distribution of the values of Euler's function
• On the number of distinct values of Euler's φ-function
• Distinct values of Euler's ø‐function
• The distribution of totients
• Some remarks on Euler’s 𝜙 function and some related problems

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