首页 | 本学科首页   官方微博 | 高级检索  
     


Sums of heights of algebraic numbers
Authors:Gregory P. Dresden.
Affiliation:Department of Mathematics, Washington & Lee University, Lexington, Virginia 24450-0303
Abstract:For $A_t(x) = f(x) - t, g(x)$, we consider the set ${ sum_{A_t(alpha) = 0} h(alpha) : t in overline{mathbb{Q} } }$. The polynomials $f(x), g(x)$ are in $mathbb{Z} [x]$, with only mild restrictions, and $h(alpha)$ is the Weil height of $alpha$. We show that this set is dense in $[d, infty)$ for some effectively computable limit point $d$.

Keywords:
点击此处可从《Mathematics of Computation》浏览原始摘要信息
点击此处可从《Mathematics of Computation》下载全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号