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 $b\geqslant 2$.
@article{10_37236_5441,
author = {Michael Coons and Lukas Spiegelhofer},
title = {The maximal order of hyper-(\(b\)-ary)-expansions},
journal = {The electronic journal of combinatorics},
year = {2017},
volume = {24},
number = {1},
doi = {10.37236/5441},
zbl = {1355.05035},
url = {http://geodesic.mathdoc.fr/articles/10.37236/5441/}
}
TY - JOUR
AU - Michael Coons
AU - Lukas Spiegelhofer
TI - The maximal order of hyper-(\(b\)-ary)-expansions
JO - The electronic journal of combinatorics
PY - 2017
VL - 24
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.37236/5441/
DO - 10.37236/5441
ID - 10_37236_5441
ER -
%0 Journal Article
%A Michael Coons
%A Lukas Spiegelhofer
%T The maximal order of hyper-(\(b\)-ary)-expansions
%J The electronic journal of combinatorics
%D 2017
%V 24
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/5441/
%R 10.37236/5441
%F 10_37236_5441
Michael Coons; Lukas Spiegelhofer. The maximal order of hyper-(\(b\)-ary)-expansions. The electronic journal of combinatorics, Tome 24 (2017) no. 1. doi: 10.37236/5441
