A modular supercongruence for _6F_5: An Apéry-like story
type: Item
instance of: scholarly article
title: A modular supercongruence for _6F_5: An Apéry-like story
zbMATH Open document ID: 1429.11039
author: Robert Osburn
author: Armin Straub
author: Wadim Zudilin
published in: Annales de l’institut Fourier
publication date: 2019-01-15T00:00:00Z
full work available at URL: https://arxiv.org/abs/1701.04098
Mathematics Subject Classification ID: 11B65
Mathematics Subject Classification ID: 33C20
Mathematics Subject Classification ID: 33F10
Mathematics Subject Classification ID: 11F30
zbMATH DE Number: 7002310
zbMATH Keywords: supercongruence
zbMATH Keywords: Apéry numbers
zbMATH Keywords: Apéry-like numbers
zbMATH Keywords: hypergeometric function
describes a project that uses: OEIS
describes a project that uses: SIGMA
MaRDI profile type: Publication
OpenAlex ID: W2963579298
arXiv ID: 1701.04098
cites work: A Gaussian hypergeometric series evaluation and Apéry number congruences
cites work: Q4184941
cites work: Another congruence for the Apéry numbers
cites work: Q3754061
cites work: Hypergeometric series and harmonic number identities
cites work: Sporadic sequences, modular forms and new series for \(1/\pi\)
cites work: Q4663129
cites work: Hypergeometric functions over finite fields
cites work: Hypergeometric type identities in the \(p\)-adic setting and modular forms
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: Hypergéométrie et fonction zêta de Riemann
cites work: Binomial Coefficient – Harmonic Sum Identities Associated to Supercongruences
cites work: EXTENDING GAUSSIAN HYPERGEOMETRIC SERIES TO THE p-ADIC SETTING
cites work: On a supercongruence conjecture of Rodriguez-Villegas
cites work: A few remarks on \(\zeta (3)\)
cites work: Gaussian Hypergeometric series and supercongruences
cites work: On the (K.2) supercongruence of Van Hamme
cites work: Computer proofs of a new family of harmonic number identities.
cites work: Q4875364
cites work: A proof that Euler missed. Apéry's proof of the irrationality of \(\zeta(3)\). An informal report
cites work: Irrationality of infinitely many values of the zeta function at odd integers.
cites work: Q4462785
cites work: Symbolic summation assists combinatorics
cites work: The on-line encyclopedia of integer sequences
cites work: On the supercongruence conjectures of van Hamme
cites work: Q3655906
cites work: Q3645802
cites work: A GENERATING FUNCTION OF THE SQUARES OF LEGENDRE POLYNOMIALS
DOI: 10.5802/AIF.3201
description: scientific article; zbMATH DE number 7002310