Shifted Jack congruence conjecture

Let shifted Jack Littlewood–Richardson coefficients be defined for partitions with $|\lambda|\leq|\mu|+|\nu|$. Shifted Jack congruence conjecture. The adjacent-triple congruence conjecture for regular Jack Littlewood–Richardson coefficients also holds for shifted Jack Littlewood–Richardson coefficients. The source reports examples, including cases with negative powers of $\alpha$, but does not provide a proof.