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Introduction to Exponential Sums and An Application to Digits
Date and Time: 2019-10-10 18:28:21

Speaker: Prof. Thomas Stoll, France

Date: October 11, 2019

Time: 9:30 a.m.-10:30 a.m.

Location: Room 1044, Block B, Zhixin Building, Central Campus


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 four lectures, I will develop the classical theory, such as Weyl's differencing method, Weyl's criterion and uniform distribution mod 1, the Erdoes-Turan inequality and discrepancy, as well as van der Corput's method. The fifth 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.

Inviter: Prof. Liu Jianya

Sponsor: the School of Mathematics

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Edited by: Xie Tingting

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