On the expansion of some exponential periods in an integer base
Résumé
We derive a lower bound for the subword complexity of the base-b expansion (b a parts per thousand yen 2) of all real numbers whose irrationality exponent is equal to 2. This provides a generalization of a theorem due to Ferenczi and Mauduit. As a consequence, we obtain the first lower bound for the subword complexity of the number e and of some other transcendental exponential periods.