崔沛仪 , 刁晗生 , 杜衡 , 胡悦科 , ‌李华杰 , 徐文强 , 徐斌 , 朱艺航

吴杰

2026年11月02日 10:00 至 11:00

Shuangqing-C654

There are many long-standing and celebrated unsolved conjectures in number theory concerning the distribution of prime numbers. At the 1912 International Congress of Mathematicians in Cambridge, the German mathematician Edmund Landau identified the following four problems as central challenges for twentieth-century research on prime numbers: Goldbach’s conjecture；The twin prime conjecture；Legendre’s conjecture；Euler’s conjecture. These are now collectively known as Landau’s problems. This talk will give a brief overview of the history and current state of research on Euler’s conjecture, including some recent progress made by the speaker in collaboration with Ping Xi of Xi’an Jiaotong University. Particular emphasis will be placed on a new tool introduced and developed in the course of this work: arithmetic exponent pairs.