The maximal order of hyper-(b-ary)-expansions
classification
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keywords
expansionshyper-maximalorderbasescoonsdefantdetermining
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Using methods developed by Coons and Tyler, we give a new proof of a recent result of Defant, by determining the maximal order of the number of hyper-($b$-ary)-expansions of a nonnegative integer $n$ for general integral bases $b\geqslant 2$.
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