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Results tagged with polynomials
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user 43556
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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Irreducibility of a polynomial in two variables
Is the polynomial
$$P_n(x,y)=\displaystyle\sum_{a+b\leq n}x^ay^b$$
irreducible in $\mathbb Z[x,y]$?
For all $n\leq 500$ this is true (checked using Mathematica), so it is reasonable to presume th …
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