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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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Random algebraic numbers are linearly disjoint almost surely?

Precisely, this should give a bound of order of magnitude at most $N^{n+m-1/2}(\log N)^c$ (for some $c>0$) for the number of "bad" pairs of polynomials. … (Note that the total number is about $N^{n+m}$ since you assume the polynomials to be monic, and not $N^{n+m+2}$.) …
Denis Chaperon de Lauzières's user avatar