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

The ring of polynomial over a finite field $F_q[x]$ has received muchattention, both from a combinatorial viewpoint as in regards to its action onmeasurable dynamical systems. In the case of $(\mathbb{Z},+)$ we know that theideal generated by any nonzero element is an IP$^*$-set. In the present articlewe first establish that the analogous result is true for $F_q[x]$. We furtheruse this result to establish some mixing properties of the action of$(F_q[x],+)$. We shall also discuss on Khintchine's recurrence for the actionof $(F_q[x]\setminus\{0\},\cdot)$.

IP$^{*}$-sets in function field and mixing properties