On Salem Formal Power Series

Authors

  • Oussama Dammak Umm Al-Qura University
  • Saber Mansour

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i3.4463

Keywords:

continued fractions

Abstract

In this paper, we will take a look at Salem elements dealing with formal power series on Fq, where Fq 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 Fq. Moreover, we provide the CFE of the (SSE) for each n.

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Published

2022-07-31

Issue

Vol. 15 No. 3: (July 2022)

Section

Nonlinear Analysis

License

Copyright (c) 2022 European Journal of Pure and Applied Mathematics

Creative Commons License

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Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

On Salem Formal Power Series. (2022). European Journal of Pure and Applied Mathematics, 15(3), 1321-1330. https://doi.org/10.29020/nybg.ejpam.v15i3.4463