Behavior of Digital Sequences Through Exotic Numeration Systems

[摘要] Many digital functions studied in the literature, e.g., the summatory function of the base-$k$ sum-of-digits function, have a behavior showing some periodic fluctuation. Such functions are usually studied using techniques from analytic number theory or li

[学科分类] 离散数学和组合数学

[关键词] Binomial coefficients of words;k-Regular sequences;Summatory functions