Hypergeometric supercongruences
David Roberts, Fernando Rodriguez Villegas
TL;DR
This paper explores principles behind hypergeometric supercongruences, focusing on convergence acceleration and Hodge number vanishing, contributing to the understanding of these mathematical phenomena.
Contribution
It introduces two related principles for hypergeometric supercongruences, linking convergence behavior and Hodge number properties.
Findings
Connection between supercongruences and Hodge numbers
Principles for accelerated convergence in hypergeometric series
Insights into vanishing Hodge numbers in this context
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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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Mathematical Identities