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Questions in which polynomials (single or several variables) play a key role. It is typically important that this tag is combined with other tags; polynomials appear in very different contexts. Please, use at least one of the top-level tags, such as nt.number-theory, co.combinatorics, ac.commutative-algebra, in addition to it. Also, note the more specific tags for some special types of polynomials, e.g., orthogonal-polynomials, symmetric-polynomials.

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The number of values of $f(x)/x$ when $f$ is a linearized polynomial

Consider an $\mathbb{F}_q$-linear map $f:\mathbb{F}_{q^n}\to \mathbb{F}_{q^n}$ (so $f$ is a linearized polynomial). Suppose also that $f$ is not $\mathbb{F}_{q^i}$-linear, where $i>1$. My question i …
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