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Gower uniformity of primes in short intervals and in arithmetic progressions

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               Gower uniformity of primes in short intervals and in arithmetic progressions

                                       Presenter:Shao Xuancheng

Abstract:

A celebrated theorem of Green-Tao asserts that the set of primes is Gowers uniform, allowing them to count asymptotically the number of k-term arithmetic progressions in primes up to a threshold. In this talk I will discuss results of this type for primes restricted to either short intervals or arithmetic progressions. These can be viewed as generalizations of classical problems, such as counting primes in short intervals, and the Bombieri-Vinogradov theorem. This is based on joint works with Kaisa Matomaki and with Joni Teravainen.


Brief Introduction to the Presenter:

Shao Xuancheng ,University of Kentucky

 

Inviter

Zhao lilu,Professor of the School of Mathematics, Shandong University

 

Time:

17 June (Wednesday) 9:00-10:00

 

Report form

加入Zoom会议,https://cernet.zoom.com.cn/j/6785475442

 

Sponsored by:School of Mathematics, Shandong Unive

地址:中国山东省济南市山大南路27号   邮编:250100  

电话:0531-88364652  院长信箱:sxyuanzhang@sdu.edu.cn

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