Questions tagged [laurent-polynomials]
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4
questions with no upvoted or accepted answers
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``Occasional'' Laurent phenomenon
This question is motivated by Richard Stanley's A question on the Laurent phenomenon (motivated by his answer to the question what is the probability that a scissor became the champion?).
He asked ...
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A monotonicity property related to Laurent polynomials
Let $L$ be a Laurent polynomial with real coefficients, i.e.,
$$L(z)=\sum_{j=-r}^{s}a_{j}z^{j},$$
where $r,s\in\mathbb{N}$ and $a_{j}\in\mathbb{R}$. Assume further that the set $L^{-1}(\mathbb{R})\...
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analogues of power sum polynomials for symmetric Laurent polynomials
To deal with root systems of type B C D, one needs to understand symmetric Laurent polynomials $\Lambda$. I am wondering if the naive definition of power sum symmetric Laurent polynomials form a basis ...
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Notion of transversality over the field of Puiseux series.
To a given a Laurent polynomial $f$ over the field of Puiseux seris with parameter $t$, $f \in \mathbb{C} \lbrace\lbrace t \rbrace\rbrace[z_1^{\pm1},...,z_n^{\pm 1}]$, one can associate the ...