学术活动

学术活动

数论与代数几何讨论班:和积现象及其应用

主讲人:龚克 (河南大学)

时  间:11月18日(周一)10:30-11:30

地  点:必赢76net线路官网北二区教学楼 517 教室

摘  要 Sum-product phenomenon play a fundamental role in many arithmetic combinatorial problems. It was first demonstrated in a se  minal paper of Paul Erdös and Endre Szemerédi, and found its way into many arithmetic problems only in recent years. I will give a survey on sum-product phenomenon in different settings, and demonstrate its power through a remarkable estimate for extremely short exponential sums due to Jean Bourgain and his coauthors. Some related problems in arithmetic combinatorics reflecting my recent thoughts will also be introduced.

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