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- W2964014780 abstract "The ring of polynomial over a finite field Fq[x] has received much attention, both from a combinatorial viewpoint as in regards to its action on measurable dynamical systems. In the case of (Z,+) we know that the ideal generated by any nonzero element is an IP⁎-set. In the present article we first establish that the analogous result is true for Fq[x]. We further use this result to establish some mixing properties of the action of (Fq[x],+). We shall also discuss on Khintchine's recurrence for the action of (Fq[x]∖{0},⋅)." @default.
- W2964014780 created "2019-07-30" @default.
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- W2964014780 date "2017-09-01" @default.
- W2964014780 modified "2023-10-18" @default.
- W2964014780 title "IP⁎-sets in function field and mixing properties" @default.
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- W2964014780 doi "https://doi.org/10.1016/j.topol.2017.06.010" @default.
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