Some supercongruences of arbitrary length

Frits Beukers*, Eric Delaygue

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

We prove supercongruences modulo p2 for values of truncated hypergeometric series at some special points. The parameters of the hypergeometric series are d copies of 1/2 and d copies of 1 for any integer d≥2. In addition we describe their relation to hypergeometric motives.

Original languageEnglish
Pages (from-to)946-955
Number of pages10
JournalIndagationes Mathematicae
Volume33
Issue number5
DOIs
Publication statusPublished - Sept 2022

Keywords

  • Hypergeometric series
  • Super congruence
  • Unit root
  • Zeta function

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