BIMSA >
BIMSA-YMSC Tsinghua Number Theory Seminar
BIMSA-YMSC Tsinghua Number Theory Seminar
Arithmetic exponent pairs and Euler conjecture
Arithmetic exponent pairs and Euler conjecture
Organizers
Peiyi Cui
, Hansheng Diao
, Heng Du
, Yueke Hu
, Huajie Li
,
Max Wenqiang Xu
, Bin Xu
, Yihang Zhu
Speaker
Jie Wu
Time
Monday, November 2, 2026 10:00 AM - 11:00 AM
Venue
Shuangqing-C654
Abstract
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.