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Polynomial method in combinatorics

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For nonnegative integers $a_1,\ldots,a_n$,
$$
\operatorname{CT}\prod_{i=1}^n\prod_{j\ne i}
\left(1-\frac{X_i}{X_j}\right)^{a_i}
=\frac{(a_1+\cdots+a_n)!}{a_1!\cdots a_n!}.
$$


Dyson constant-term identity

Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 109 / 3 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 109 / 3 / b / Solution

Dyson constant-term identity

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Dyson constant-term identity

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