Mathematics – Number Theory
Scientific paper
2008-03-07
Mathematics
Number Theory
Scientific paper
Let us denote by $\tau(n)$ and $\si(n)$ the number and the sum of the
divisors of $n$ and by $\vfi$ Euler's function. We give effective upper bounds
for $\frac{n}{\vfi(n)}$ in terms of $\vfi(n)$, and for $\frac{\si(n)}{n}$ in
terms of $\tau(n)$.
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