The absolute trace of totally positive reciprocal algebraic integers

详细信息    查看全文

• 作者：Xiaoqian Dong ^{qian328@swu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Qiang Wu ; ¹ ; ^{qiangwu@swu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 11C08 ; 11R04 ; 11Y40
• 刊名：Journal of Number Theory
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：170
• 期：Complete
• 页码：66-74
• 全文大小：250 K

文摘

In this paper, we compute the lower bound of the absolute trace of totally positive reciprocal algebraic integers with the use of an explicit auxiliary function and prove that all but finitely many totally positive reciprocal algebraic integers α   have w the MathML source">tr(α)/d>1.8945909⋯.