The x not 1 modulo k−1 conjecture for prographs and set-valued tableaux
Assume x≡a(modk−1)x\equiv a\pmod{k-1}x≡a(modk−1), where 2≤a≤k−12\leq a\leq k-12≤a≤k−1. Let … and let PCxk(n,m)\operatorname{PC}_x^k(n,m)PCxk(n,m) denote the relevant prographs and S(λ/μ,ρ)\operatorname{\mathbb{S}}(\lambda/\mu,\rho)S(λ/μ,ρ) th…