The covariance of smooth linear statistics for the 1D Riesz gas is expressed via a Gegenbauer polynomial expansion and reduces to a gamma-function product for power sums, matching recent exact results.
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Gegenbauer polynomials and fluctuation properties of the one-dimensional Riesz gas
The covariance of smooth linear statistics for the 1D Riesz gas is expressed via a Gegenbauer polynomial expansion and reduces to a gamma-function product for power sums, matching recent exact results.