A Function in the Number Theory

Details A Function in the Number Theory A Function in the Number Theory

2004-05-08

arxiv.org/abs/math/0405143v1

An. Univ. Timisoara, Seria St. Matematice, Vol. XVIII, Fasc. 1, 79-88, 1980

Mathematics

General Mathematics

8 pages

Scientific paper

In this paper one constructs a function $\eta$ with the property that if $n$
is non-null then $\eta(n)$ is the smallest integer such that $\eta(n)!$ is
divisible by $n$. In order to calculate it one considers, for each prime $p$,
the associated function $\eta_{p}(n)$ in a power base.

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