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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How to Cite

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