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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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What is the set of all "pseudo-rational" numbers (see details)?

Define a “pseudo-rational” number to be a real number $q$ that can be written as $q=\sum_{n=1}^{\infty} \frac{P(n)}{Q(n)}$ Where $P(x)$ and $Q(x)$ are fixed integer polynomials (independent of n). …