The distribution of totients

DOI10.1090/S1079-6762-98-00043-2zbMath0888.11003arXiv1104.3264MaRDI QIDQ4387109

Kevin Ford

Publication date: 6 May 1998

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.3264

zbMATH Keywords

multiplicitiesEuler's functionsum of divisors functionCarmichael's conjecturetotientsmultiplicative arithmetic functionsSierpinski's conjecture

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Related Items (3)

Sets of monotonicity for Euler's totient function ⋮ On common values of \(\varphi(n)\) and \(\sigma(m)\). I ⋮ Mathematics and \texttt{Mathematica}

Cites Work

• Unnamed Item
• Unnamed Item
• Sur l'équation \(\varphi (x) = m\)
• The distribution of totients
• On the normal number of prime factors of \(\phi(n)\)
• Some remark on Euler's φ function
• Sur certaines hypothèses concernant les nombres premiers
• Remarks on the paper "Sur certaines hypothèses concernant les nombres premiers"
• 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
• Carmichael's Conjecture on the Euler Function is Valid Below 10^{10,000, 000}
• On the values of Euler's φ-function
• On a conjecture of Carmichael
• Some remarks on Euler’s 𝜙 function and some related problems

This page was built for publication: The distribution of totients