Distribution of the sum-of-digits function of random integers: a survey

Louis H. Y. Chen, Hsien-Kuei Hwang, and Vytas Zacharovas, Distribution of the sum-of-digits function of random integers: a survey, Probability Surveys, 11 (2014), 177-236. pdf (677K; 17 figures; 60 pages) arXiv:1212.6697v1