学术报告
首师大数论与代数几何讨论班-Hamilton Quaternions and the 1-3-5 Conjecture-孙智伟教授(南京大学)
首师大数论与代数几何讨论班
题目:Hamilton Quaternions and the 1-3-5 Conjecture
报告人:孙智伟教授(南京大学)
Abstract:
The Lipschitz integers are those Hamilton quaternions a+bi+cj +dk with a,b,c,d integers. Recently A. Machiavelo and N. Tsopanidis used Lipschitz integers to give a complete proof of the speaker's challenging 1-3-5 conjecture which states that each n∈N={0,1,2,...} can be written as x^2+y^2+z^2+w^2 (x,y,z,∈N ) such that x+3y+5z is a square. In this talk, we introduce this clever proof of the 1-3-5 conjecture in detail, and also mention some open conjectures of the speaker on refinements of Lagrange's four-square theorem.
报告时间:2020/11/20 13:30-14:30
报告地点:腾讯会议
会议ID:242 251 500
会议密码:123456
联系人:徐飞
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