Boris Adamczewski and Narad Rampersad
On patterns occurring in binary algebraic numbers
We prove that every algebraic number contains infinitely many occurrences of
7/3powers in its binary expansion. Using the same approach, we also
show that every algebraic number contains either infinitely many
occurrences of squares or infinitely many occurrences of one of the blocks
010 or 02120 in its ternary expansion.
