报告题目：On generalized Erdos-Ginzburg-Ziv constants of Cn+Cn

报告嘉宾：韩冬春 副教授 西南交通大学

报告时间：2023年7月21日 10:00

腾讯会议ID：517 793 039

报告摘要：Let G be an additive finite abelian group with exponent exp(G)=m. For any positive integer k, the k-th generalized Erdos-Ginzburg-Ziv constant s_{km}(G) is defined as the smallest positive integer t such that every sequence S in G of length at least t has a zero-sum subsequence of length km. It is easy to see that s_{kn}(G)>=(k+r)n-r. Kubertin conjectured that the equality holds for any k>=r. In this talk, we mainly prove that s_{kn}(Cn+Cn)=(k+3)n+O(n/ln(n)) for every positive integer k>=6. Note that the main term in our result is consistent with the conjectural values proposed by Kubertin.

报告嘉宾简介：韩冬春，2015年于南开大学组合数学中心获得理学博士学位，西南交通大学数学学院副教授，硕士研究生导师，西南交通大学雏鹰学者。研究方向为组合，数论，编码及其交叉领域，发表SCI论文20余篇，包括J. Combin. Theory Ser. A，SIAM J. Discrete Math.，J. Number Theory，IEEE Trans. Inform. Theory等。主持国家自然科学基金青年基金、面上项目、四川省科技厅项目和成都市科技厅项目各一项。