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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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Simultaneous small fractional parts of polynomials

We proceed by induction on $k$, the number of polynomials. For $k=1$, either $p_1$ has only rational coefficients or it has at least one irrational. …
Joe Previdi's user avatar
8 votes
1 answer
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Simultaneous small fractional parts of polynomials

Research has continued since then on small fractional parts of polynomials. Has progress improved on this problem, or is it still open? … How can we generalize to when the polynomials may be $\mathbb{Q}$-linearly dependent? …