2013/08/20 by Alan Adolphson, Steven Sperber, Adolphson, Alan +1 · 1 citation
Mathematics · #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions
paper · pdf · doi:10.48550/arxiv.1308.4439
openalex publication_date 2013/08/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We associate to lattice points a0,a1,...,aN in Zn an A-hypergeometric series Φ(λ) with integer coefficients. If a0 is the unique interior lattice point of the convex hull of a1,...,aN, then for every prime p≠ 2 the ratio Φ(λ)/Φ(λp) has a p-adic analytic continuation to a closed unit polydisk minus a neighborhood of a hypersurface.