Supercongruences for truncated hypergeometric series and p-adic gamma function
type: Item
instance of: scholarly article
title: Supercongruences for truncated hypergeometric series and p-adic gamma function
DOI: 10.1017/S0305004118000609
author: Rupam Barman
author: Neelam Saikia
published in: Mathematical Proceedings of the Cambridge Philosophical Society
publication date: 2020-01-14T00:00:00Z
full work available at URL: https://arxiv.org/abs/1507.07391
Mathematics Subject Classification ID: 11A07
Mathematics Subject Classification ID: 11S80
Mathematics Subject Classification ID: 33C20
Mathematics Subject Classification ID: 33E50
zbMATH DE Number: 7150913
zbMATH Keywords: supercongruences
zbMATH Keywords: truncated hypergeometric series
zbMATH Keywords: \(p\)-adic gamma function
MaRDI profile type: Publication
cites work: Q4460851
cites work: A Gaussian hypergeometric series evaluation and Apéry number congruences
cites work: Q4222737
cites work: Hypergeometric functions and a family of algebraic curves
cites work: Some congruences for the Apéry numbers
cites work: Another congruence for the Apéry numbers
cites work: CONGRUENCES SATISFIED BY APÉRY-LIKE NUMBERS
cites work: Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions
cites work: Hypergeometric type identities in the \(p\)-adic setting and modular forms
cites work: Q4828543
cites work: Hypergeometric Functions Over Finite Fields
cites work: Q4357441
cites work: Supercongruences and complex multiplication
cites work: An extension of the Apéry number supercongruence
cites work: Q3880931
cites work: Hypergeometric evaluation identities and supercongruences
cites work: Some supercongruences occurring in truncated hypergeometric series
cites work: 3F2 HYPERGEOMETRIC SERIES AND PERIODS OF ELLIPTIC CURVES
cites work: EXTENDING GAUSSIAN HYPERGEOMETRIC SERIES TO THE p-ADIC SETTING
cites work: The trace of Frobenius of elliptic curves and the \(p\)-adic gamma function
cites work: A \(p\)-adic analogue of a formula of Ramanujan
cites work: A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function.
cites work: Supercongruences for truncated _{𝑛+1}𝐹_{𝑛} hypergeometric series with applications to certain weight three newforms
cites work: Supercongruences for sporadic sequences
cites work: On Epstein's Zeta-function.
cites work: Q5508372
cites work: On congruences related to central binomial coefficients
cites work: Super congruences and Euler numbers
cites work: On the supercongruence conjectures of van Hamme
cites work: Q4462785
cites work: Ramanujan-type supercongruences
description: scientific article; zbMATH DE number 7150913