Finite generating functions for the sum of digits sequence
Number Theory
2017-10-20 v2
Abstract
We derive some new finite sums involving the sequence the sum of digits of the expansion of in base These functions allow us to generalize some classical results obtained by Allouche, Shallit and others.
Cite
@article{arxiv.1708.06479,
title = {Finite generating functions for the sum of digits sequence},
author = {C. Vignat and T. Wakhare},
journal= {arXiv preprint arXiv:1708.06479},
year = {2017}
}
Comments
26 pages, new version with simplified formulas and some new results