n.t.tuan
15-12-2009, 05:39 PM
December 18, 2009:
Speaker: Prof. YANN BUGEAUD, Université Louis Pasteur de Strassbourg, L.M.R.A., France
Title: On the Decimal Expansion of Algebraic Numbers
Venue: Auditorium Room 301, Building A5
Time: 9:30
Abstract:
Classical ways to represent a real number are by its continued fraction expansion or by its expansion in some integer base. It is commonly expected that algebraic irrational numbers behave, in many respects, like almost all numbers. For instance, their decimal expansion should contain every finite block of digits from {0, …., 9}. We are very far away from establishing such a strong assertion. However, there has been some recent progress, that will be surveyed in the lecture.
Speaker: Prof. YANN BUGEAUD, Université Louis Pasteur de Strassbourg, L.M.R.A., France
Title: On the Decimal Expansion of Algebraic Numbers
Venue: Auditorium Room 301, Building A5
Time: 9:30
Abstract:
Classical ways to represent a real number are by its continued fraction expansion or by its expansion in some integer base. It is commonly expected that algebraic irrational numbers behave, in many respects, like almost all numbers. For instance, their decimal expansion should contain every finite block of digits from {0, …., 9}. We are very far away from establishing such a strong assertion. However, there has been some recent progress, that will be surveyed in the lecture.