On the largest Kronecker and Littlewood--Richardson coefficients
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coefficientskroneckerlittlewood--richardsonlargestapplyasymptoticasymptoticsattaining
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We give new bounds and asymptotic estimates for Kronecker and Littlewood--Richardson coefficients. Notably, we resolve Stanley's questions on the shape of partitions attaining the largest Kronecker and Littlewood--Richardson coefficients. We apply the results to asymptotics of the number of standard Young tableaux of skew shapes.
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