Sur la complexité des nombres algébriques
Adamczewski, Boris ; Bugeaud, Yann ; Luca, Florian
HAL, hal-00085619 / Harvested from HAL
Text on HAL
Let bgreater-or-equal, slanted2 be an integer. We prove that real numbers whose b-ary expansion satisfies some given, simple, combinatorial condition are transcendental. This implies that the b-ary expansion of any algebraic irrational number cannot be generated by a finite automaton.
Publié le : 2004-07-05
Classification:  11B85 11A63 11J81 11K16,  [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT] 
@article{hal-00085619,
     author = {Adamczewski, Boris and Bugeaud, Yann and Luca, Florian},
     title = {Sur la complexit\'e des nombres alg\'ebriques},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/hal-00085619}
}

Adamczewski, Boris; Bugeaud, Yann; Luca, Florian. Sur la complexité des nombres algébriques. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00085619/