Some supercongruences occurring in truncated hypergeometric series
type: Item
instance of: scholarly article
title: Some supercongruences occurring in truncated hypergeometric series
zbMATH Open document ID: 1336.33018
author: Ling Long
author: Ravi Ramakrishna
published in: Advances in Mathematics
publication date: 2016-02-02T00:00:00Z
full work available at URL: https://arxiv.org/abs/1403.5232
review text: The authors prove supercongruences involving hypergeometric functions and \(p\)-adic gamma functions. These imply, among others a conjecture by \textit{J. Kibelbek} et al. [J. Number Theory 164, 166--178 (2016; Zbl 1334.33020)], and a strenghened version of a conjecture by \textit{L. van Hamme} [Lect. Notes Pure Appl. Math. 192, 223--236 (1997; Zbl 0895.11051)].
Mathematics Subject Classification ID: 33C20
Mathematics Subject Classification ID: 11A07
Mathematics Subject Classification ID: 11S80
Mathematics Subject Classification ID: 33E50
zbMATH DE Number: 6538732
zbMATH Keywords: supercongruences
zbMATH Keywords: hypergeometric series
zbMATH Keywords: \(p\)-adic gamma functions
Wikidata QID: Q56621082
reviewed by: József Sándor
MaRDI profile type: Publication
OpenAlex ID: W2963681127
arXiv ID: 1403.5232
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DOI: 10.1016/J.AIM.2015.11.043
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description: scientific article