On the integrality of hypergeometric series whose coefficients are factorial ratios

2020/01/09 by Alan Adolphson, Steven Sperber, Adolphson, Alan +1
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT) #math.AG #math.NT

paper · pdf · doi:10.48550/arxiv.2001.03296

18 pages

openalex publication_date 2020/01/09 · arxiv created 2020/01/10 · arxiv updated 2020/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use the Dwork-Frobenius operator to prove an integrality result for A-hypergeometric series whose coefficients are factorial ratios. As a special case, we generalize one direction of a classical result of Landau on the integrality of factorial ratios.

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