The maximal order of hyper-(b-ary)-expansions

2015/11/26 by Michael Coons, Coons, Michael, Lukas Spiegelhofer +1 · 1 citation
Mathematics · #05A16 #11B37 #11B39 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05A16 #msc:11B37 #msc:11B39

paper · pdf · doi:10.48550/arxiv.1511.08267

6 pages

arxiv created 2015/11/26 · arxiv updated 2015/11/30

Abstract

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.

Cited by

• Non-standard quaternary representations and the Fibonacci numbers

Related

• Hyper b-ary expansions and Stern polynomials
• b-ary expansions of algebraic numbers
• Optimal expansions in non-integer bases
• Properties of expansions in complex bases
• Universal β-expansions