题目：Introduction to exponential sums and an application to digits I-III

报告人：Thomas STOLL（University of Lorraine, France）

摘要：This mini-course is a (gentle) introduction to exponential sums with the aim to give an application to a problem concerning digits of integers. In the first few lectures, we will develop the classical theory, such as Weyl's differencing method, Weyl's criterion and uniform distribution mod 1, discrepancy and the Erdoes-Turan inequality, as well as van der Corput's method. The last lecture is a scientific talk : I will show how these classical tools can be used to show that the sum of digits in base 2 and 3 can be "very often very close". This last part is recent joint research with R. de la Bretèche and G. Tenenbaum. No prerequisites are needed to follow the mini-course and the scientific talk.

时间：9.20  9:30-11:00 &  9.23  15:00-16:30  &  9.27  9:30-11:00

地点：知新楼B1044报告厅