Abstract
Let Fq be a finite field, and let Fq[X] be the ring of polynomials with coefficients in Fq. A 2-Pisot element is a pair of algebraic integers of formal Laurent series over Fq[X] with absolute value strictly greater than 1 and such that all remaining conjugates have an absolute value strictly smaller than 1. Our paper is devoted to characterize 2-Pisot elements in the case q â 2r.
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