On some problems of Mąkowski–Schinzel and Erdős concerning the arithmetical functions φ and σ

DOI10.4064/cm92-1-10zbMath1027.11007OpenAlexW2321839014MaRDI QIDQ2773362

Florian Luca, Carl B. Pomerance

Publication date: 21 February 2002

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm92-1-10

zbMATH Keywords

average ordermaximal ordernormal ordersum-of-divisors functionEuler's phi-function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25) Rate of growth of arithmetic functions (11N56)

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Robin's inequality and the Riemann hypothesis ⋮ Phi, primorials, and Poisson ⋮ Square-free values of the Carmichael function. ⋮ An arithmetic function arising from Carmichael's conjecture ⋮ Arithmetic properties of coefficients of \(L\)-functions of elliptic curves ⋮ Congruences and rational exponential sums with the Euler function ⋮ Estimates for Wieferich numbers ⋮ Irrationality of power series for various number theoretic functions ⋮ On f(n) modulo Ω(n) and ω(n) when f is a polynomial ⋮ Values of the Euler phi function not divisible by a given odd prime ⋮ Multiperfect numbers on lines of the Pascal triangle ⋮ On the Difference in Values of the Euler Totient Function Near Prime Arguments ⋮ Values of the Euler function in various sequences ⋮ Compositions with the Euler and Carmichael functions

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