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problems
Let L(x^ay^b)=a! b! on C[x,y]. The Factorial Conjecture asks whether L(f^m)=0 for every m≥ 1 forces f=0. The homogeneous two-variable case was settled by Liu and Sun; the inhomogeneous problem does not reduce to it, because radial…
Let H be a hypertree. Then X_H is F-positive.
For every K_r -free graph G, fracα(G)overlineα_G(1)≥ 1+1/r. For every K_r -free graph G of minimum degree d, fracα(G)overlineα_G(1)≥ 2-o_d(1), with r fixed as d →∞ .