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组合数论系列报告

作者:   时间:2022-05-24   点击数:

时间:527日(星期五)下午

地点:腾讯会议


题目:Erdos-Fuchs定理简介

报告人:潘颢(南京财经大学)

时间:14:00 - 14:50

摘要:Erdos-Fuchs定理是关于加法表示函数的一个经典结果。我们将简单地介绍Erdos-Fuchs定理的证明,以及后来的一些推广与发展。


题目: Vinogradov's three primes theorem with Piatetski-Shapiro primes.

报告人:孙宇宸(图尔库大学)

时间:14:50 - 15:40

摘要:In this talk, we first introduce some results related to the number of Piatetski-Shapiro primes and transference principle. Then we would like to introduce how to combine sieve methods with transference principle to prove Vinogradov's three primes theorem with Piatetski-Shapiro primes, which improves the previous result given by Kumchev. This is a joint work with Shanshan Du and Hao Pan.


题目:Romanov type problems and their representation functions

报告人:丁煜宸(扬州大学)

时间:15:40 - 16:30

摘要:We shall introduce the history of the Romanov theorem and its representation function. A few variants of them will then be discussed in this talk. In particular, a conjecture of Paul Erdos and a problem of Yong-Gao Chen and Quan-Hui Yang involving this theme are included. Some open problems for further research in this area will be highlighted between the talk.


题目:Cyclotomic matrices, elliptic curves and hypergeometric functions over finite fields

报告人:伍海亮(南京邮电大学)

时间:16:30 - 17:20

摘要:We introduce some recent work related to cyclotomic matrices, elliptic curves and hypergeometric functions over finite fields. This is a joint work with Yue-Feng She and Li-Yuan Wang.


邀请人:赵立璐



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