Some supercongruences of arbitrary length

DOI10.1016/j.indag.2022.04.002OpenAlexW4224281724MaRDI QIDQ2166098

Éric Delaygue, Frits Beukers

Publication date: 23 August 2022

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.02467

zbMATH Keywords

hypergeometric serieszeta functionunit rootsuper congruence

Mathematics Subject Classification ID

Special functions (33-XX) Number theory (11-XX)

Related Items (2)

A local-global theorem for \(p\)-adic supercongruences ⋮ Congruences corresponding to hypergeometric identities. I: \(_2F_1\) transformations

Cites Work

• Finite hypergeometric functions
• Hypergeometric supercongruences
• Supercongruences for rigid hypergeometric Calabi-Yau threefolds
• An extension of the Apéry number supercongruence
• On $p$ - adic differential equations IV generalized hypergeometric functions as $p$ - adic analytic functions in one variable
• A modular supercongruence for _6F_5: An Apéry-like story
• Supercongruences between truncated $_{2}F_{1}$ hypergeometric functions and their Gaussian analogs
• Supercongruences for truncated _{𝑛+1}𝐹_{𝑛} hypergeometric series with applications to certain weight three newforms

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