Journal of Physical Mathematics

Pisot-K Elements in the Field of Formal Power Series over Finite Field

Kthiri H

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Abstract

In this paper, we will give a criteria of irreducible polynomials over $\mathbb{F}_q[X]$ where $\mathbb{F}_q$ is a finite field. We will present an estimation for the number of the Pisot-k power formal series, precisely we will give their degrees and their logarithmic heights.

Article information

Source
J. Phys. Math., Volume 7, Number 3 (2016), 5 pages.

Dates
First available in Project Euclid: 6 September 2017

Permanent link to this document
https://projecteuclid.org/euclid.jpm/1504663242

Digital Object Identifier
doi:10.4172/2090-0902.1000194

Keywords
formal power series irreducible polynomials Pisot-2 series. $|z|\lt1$

Citation

H, Kthiri. Pisot-K Elements in the Field of Formal Power Series over Finite Field. J. Phys. Math. 7 (2016), no. 3, 5 pages. doi:10.4172/2090-0902.1000194. https://projecteuclid.org/euclid.jpm/1504663242


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