English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper we construct infinite sequences of monic irreduciblepolynomials with coefficients in odd prime fields by means of a transformationintroduced by Cohen in 1992. We make no assumptions on the coefficients of thefirst polynomial $f_0$ of the sequence, which belongs to $\F_p [x]$, for someodd prime $p$, and has positive degree $n$. If $p^{2n}-1 = 2^{e_1} \cdot m$ forsome odd integer $m$ and non-negative integer $e_1$, then, after an initialsegment $f_0, ..., f_s$ with $s \leq e_1$, the degree of the polynomial$f_{i+1}$ is twice the degree of $f_i$ for any $i \geq s$.

Sequences of irreducible polynomials without prescribed coefficients over odd prime fields