The paper proves that shifted Jack Littlewood-Richardson coefficients g^λ_μν(α) for triples differing by a single box move are congruent modulo the α-hook length of the pivot box.
Interpolation, integrality, and a generalization of Macdonald’s polynomials,
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Congruences of shifted Jack Littlewood-Richardson coefficients
The paper proves that shifted Jack Littlewood-Richardson coefficients g^λ_μν(α) for triples differing by a single box move are congruent modulo the α-hook length of the pivot box.