For every m at least 3, explicit intervals around k-bonacci numbers q_k are shown to lie in B_m, with positive Hausdorff dimension for the set of points having exactly m base-q expansions.
On small bases which admit countably many expansions
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On finitely many base $q$ expansions
For every m at least 3, explicit intervals around k-bonacci numbers q_k are shown to lie in B_m, with positive Hausdorff dimension for the set of points having exactly m base-q expansions.