The paper focuses on studying inequalities satisfied by the summatory function of the sum of digits in a given integer base. It starts by showing that the case p = 0 in Allaart's 2011 result can be deduced from Graham's 1970 inequality.
The main contributions are:
The paper also discusses potential generalizations of Allaart's 2011 result and raises several open questions for further research.
To Another Language
from source content
arxiv.org
Key Insights Distilled From
by Jean-Paul Al... at arxiv.org 04-30-2024
https://arxiv.org/pdf/2311.16806.pdfDeeper Inquiries