Hypergeometric supercongruences

2018/03/28 by David C. S. Roberts, Roberts, David, Fernando Rodríguez Villegas +1 · 1 citation
Mathematics · #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1803.10834

openalex publication_date 2018/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss two related principles for hypergeometric supercongrences, one related to accelerated convergence and the other to the vanishing of Hodge numbers. This is an extended abstract of a talk given at the workshop "Hypergeometric motives and Calabi-Yau differential equations" at the Mathematical Research Institute (MATRIX) of The University of Melbourne in Creswick, Australia in January of 2017.

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• A note on the hypergeometric datum (((1)/(2),(1)/(6),(5)/(6)),(1,1)) and symmetric squares of elliptic curves

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