2 problems

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Bacher's orbit-sum conjecture for D-finiteness of 1,964 octant models
A three-dimensional octant model is a finite-step lattice walk model in the nonnegative octant whose defining step constraints are genuinely three-dimensional. The orbit sum method…
Conjectureopend-finiteness generating-functions lattice-pathsarXiv posted 3 days ago
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Transcendence conjecture for nondegenerate 3D octant models
Let $\mathcal S$ be a three-dimensional lattice-walk model confined to the positive octant, and let $O(x,y,z;t)$ denote its complete generating function. Exclude the degenerate cas…
Conjectureopend-finiteness generating-functions lattice-walksarXiv posted 3 days ago

Bacher's orbit-sum conjecture for D-finiteness of 1,964 octant models