On the iterations of certain maps over finite fields of odd characteristic

详细信息    查看全文

• 作者：S. Ugolini ^{sugolini@gmail.com" class="auth_mail}
• 关键词：Dynamical systems ; Finite fields ; Arithmetic dynamics ; Elliptic curves
• 刊名：Journal of Number Theory
• 出版年：September 2014
• 年：2014
• 卷：142
• 期：Complete
• 页码：274-297
• 全文大小：456 K

文摘

In this paper we describe the dynamics of certain rational maps of the form k⋅(x+x⁻¹)$k\cdot (x+x^{-1})$ over finite fields of odd characteristic. This work extends our previous investigations on the dynamics of the map x+x⁻¹$x+x^{-1}$ over finite fields of characteristic 2, 3 and 5.

Video

For a video summary of this paper, please click here or visit http://youtu.be/qasS5IAQOM0.