# Journal of the Ramanujan Mathematical Society

Volume 36, Issue 2, June 2021 pp. 157–168.

On the hereditary sum of digits function to base q

**Authors**:
Firas Feki

**Author institution:**Faculty of Science of Sfax, Department of Mathematics, University
of Sfax, Soukra Road Km 3.5, PB. 3000, Sfax, Tunisia

**Summary: **
The aim of this work is to show that the hereditary sum of digits function is well distributed in residue
classes when evaluated over an arithmetic progression and to estimate the cardinality of the set of integers under an
arithmetic constraint on their hereditary sum of digits.

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