On the number of solutions of exponential congruences
We show that is powerfull for integers at most, thus answering a question of P. Ribenboim.
We study a family of quasi periodic -adic Ruban continued fractions in the -adic field and we give a criterion of a quadratic or transcendental -adic number which based on the -adic version of the subspace theorem due to Schlickewei.