All reports by Author Scott Contini:

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TR04-035
| 10th April 2004
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Scott Contini, Ernie Croot, Igor E. Shparlinski#### Complexity of Inverting the Euler Function

Scott Contini, Ernie Croot, Igor E. Shparlinski

We present an algorithm to invert the Euler function $\varphi(m)$. The algorithm, for a given integer $n\ge 1$, in polynomial time ``on average'', finds theset $\Psi(n)$ of all solutions $m$ to the equation $\varphi(m) =n$. In fact, in the worst case the set $\Psi(n)$ is exponentially large and cannot be ... more >>>