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.

引用

页码：1321 / 1330

页数：10

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