On Salem formal power series

被引：0
|
作者：
Dammak, Oussama [1 ,2 ]
Mansour, Saber [1 ,3 ]
机构：
[1] Umm Al Qura Univ, Coll Common Year 1, Dept Math, POB 14035, Holly Makkah 21955, Saudi Arabia
[2] Univ Gabes, Sci Fac Gabes, Omar Ibn AlKhattab Zrig Rd, Gabes 6029, Tunisia
[3] Sfax Univ, Fac Sci Sfax, Dept Math, Soukra Rd,BP 802, Sfax 3018, Tunisia
来源：
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2022年 / 15卷 / 03期
关键词：
Finite fields; Formal Power Series; Pisot elements; Salem elements; continued fractions;
D O I：
10.29020/nybg.ejpam.v15i3.4463
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we will take a look at Salem elements dealing with formal power series on F-q, where F-q is a finite field. Our main result, presents a criteria for an element to be the smallest Salem element (SSE) via an order extending a given order in F-q. Moreover, we provide the CFE of the (SSE) for each n.
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页码：1321 / 1330
页数：10
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