On the integrality of factorial ratios and mirror maps

Alan Adolphson, Steven Sperber

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

Landau has characterized the integrality of certain ratios of factorials. Delaygue has characterized the integrality of the Taylor coe cients of certain mirror maps constructed from series involving those ratios. Using the A-hypergeometric point of view, we express those characterizations in terms of the sparseness of interior lattice points in multiples of the associated lattice polytope.

Original languageEnglish (US)
Article numberA10
Pages (from-to)1-15
Number of pages15
JournalIntegers
Volume20
StatePublished - 2020

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