Summing the sum of digits
arXiv:2311.16806 · doi:10.46298/cm.12610
Abstract
We revisit and generalize inequalities for the summatory function of the sum of digits in a given integer base. We prove that several known results can be deduced from a theorem in a 2023 paper by Mohanty, Greenbury, Sarkany, Narayanan, Dingle, Ahnert, and Louis, whose primary scope is the maximum mutational robustness in genotype-phenotype maps.
10 pages; this is a revised version to appear in Communications in Mathematics