Adamczewski Boris &
Yann Bugeaud
On the decimal expansion of algebraic numbers
In this expository paper, we discuss various combinatorial criteria that
may apply to the decimal (or, more generally, to the $b$-adic) expansion
of a given real number to show that this number is transcendental. As a consequence, we show that the sequence of decimals of $\sqrt 2$ cannot be "too simple".
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