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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

点击链接入会,或添加至会议列表:https://meeting .tencent.com/s/qlOW1Rmchu62

 

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