Regular triangular forms of rank exceeding 3
2022.09.20- Date
- 2022-09-21 (16:30 ~ 18:00)
- Location
- 108동 319호
<Seminar contents>
Sept.. 21(Wednesday)2022,16:30- 18:00, Building 108- Room N319
▶Speaker : Mingyu Kim (Sungkyunkwan University)
▶Title : Regular triangular forms of rank exceeding 3
▶Abstract :
For a polynomial $T(x)=x(x+1)/2$ and positive integers $a_1,a_2,\dots,a_k$, an integer-valued quadratic polynomial of the form $a_1T(x_1)+a_2T(x_2)+\cdots+a_kT(x_k)$ is called a triangular form of rank $k$. A triangular form is called regular if it represents all positive integers that are locally represented. In this talk, we find a way to classify all regular triangular forms of rank exceeding 3.
* UNIST Number Theory group website *
