Étude probabiliste des quotients de Fermat
Étude probabiliste des quotients de Fermat
For fixed $a\geq 2$, we suggest that the probability of nullity mod $p$ of the Fermat quotient $q_p(a)$ is $\ll \frac{1}{p}$ for $p \to \infty$. For this we propose various heuristics (as the existence of a suitable binomial law of probability), justified by means of numerical computations and analytical results, …