Extremal orders of compositions of certain arithmetical functions

Details Extremal orders of compositions of certain arithmetical functions Extremal orders of compositions of certain arithmetical functions

2008-02-08

arxiv.org/abs/0802.1106v2

Integers: Electronic Journal of Combinatorial Number Theory, 8 (2008), #A34

Mathematics

Number Theory

improved and corrected final version

Scientific paper

We study the exact extremal orders of compositions $f(g(n))$ of certain
arithmetical functions, including the functions $\sigma(n)$, $\phi(n)$,
$\sigma^*(n)$ and $\phi^*(n)$, representing the sum of divisors of $n$, Euler's
function and their unitary analogues, respectively. Our results complete,
generalize and refine known results.

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