李華介Hua-Chieh Li陳慧錚Huei Jeng Chen2019-09-052005-7-82019-09-052005http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22G0069240006%22.&%22.id.&http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101463大家都知道對於Q_p來說, 給定一個維度n必只存在有限多個在Q_p上擴張體維度是n的. 對於每個正整數n, 我們觀察係數在Q_p這個體上的多項式而且最高次是n次它的根的行為. 我們在這篇論文中主要是要研究多項式的係數和體擴張之間的關係.It is well-known that for a p-adic field there exists only finite many extensions of a given degree. For a polynomial f with coefficients satisfying some conditions in Qp of given degree and let alpha be any root of f, we want to discuss the connection between coefficients of f and types of extensions Qp(alpha). In this paper we present a method for discussing the relation.維度擴張