Imre Katai's Insights on Uniform Distribution Mod 1: Key Results and Open Challenges 📊

Abstract: Given a fixed integer q≥2, an irrational number ξ is said to be a q-normal number if any preassigned sequence of k digits occurs in the q-ary expansion of ξ with the expected frequency, that is 1/qk. In this talk, we expose new methods that allow for the construction of large families of normal numbers. This is joint work with Professor Jean-Marie De Koninck. Recording during the meeting "6th International Conference on Uniform Distribution Theory " the October 3, 2018 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, bibliographies, Mathematics Subject Classification - Multi-criteria search by author, title, tags, mathematical area