A generalisation of q-additive functions (ACCEPTED)

Authors: L. Mišík, Štefan Porubský
Publication year: 2025
Publication type: Článek v odborném periodiku
Periodical: Mathematica Slovaca
Bibliographic citation: MIŠÍK, L., PORUBSKÝ, Štefan. A generalisation of q-additive functions (ACCEPTED). Mathematica Slovaca. 2025, Accepted December 2024. ISSN 0139-9918. E-ISSN 1337-2211.
ID: 603493

Abstract

A new concept of the K-additive arithmetical function is introduced, generalizing the notion of the q-additive function. Their properties and impact on the uniform distribution of sequences of the weighted sum-of-digits function of elements of sequences generated by K-additive arithmetical functions are studied