Some congruences on conjectures of van Hamme

DOI10.1016/j.jnt.2016.02.001zbMath1415.11008OpenAlexW2322714938WikidataQ122943396 ScholiaQ122943396MaRDI QIDQ273478

Bing He

Publication date: 22 April 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.02.001

zbMATH Keywords

congruenceconjecture of swisherconjecture of van Hamme

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Integral transforms of special functions (44A20) Congruences; primitive roots; residue systems (11A07) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (5)

Unnamed Item ⋮ A \(q\)-analogue of a Ramanujan-type supercongruence involving central binomial coefficients ⋮ Unnamed Item ⋮ A q-analogue of a curious supercongruence of Guillera and Zudilin ⋮ Proof of a supercongruence conjecture of He

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the supercongruence conjectures of van Hamme
• On the (K.2) supercongruence of Van Hamme
• Hypergeometric evaluation identities and supercongruences
• Some supercongruences occurring in truncated hypergeometric series
• A \(p\)-adic analogue of a formula of Ramanujan
• Supercongruences on truncated hypergeometric series
• An extension of the Apéry number supercongruence
• Some congruences on truncated hypergeometric series
• A $p$-adic supercongruence conjecture of van Hamme
• A Gaussian hypergeometric series evaluation and Apéry number congruences

This page was built for publication: Some congruences on conjectures of van Hamme