Some supercongruences occurring in truncated hypergeometric series

2016/01/05 by Ling Long, Линг Лонг, Ravi Ramakrishna · 19 citations
Mathematics · #Advanced Mathematical Identities #Advanced Combinatorial Mathematics #advanced mathematical theories

paper · doi:10.1016/j.aim.2015.11.043

Cited by

• A -SUPERCONGRUENCE MODULO THE THIRD POWER OF A CYCLOTOMIC POLYNOMIAL
• Proof of some conjectural hypergeometric supercongruences via curious identities
• The Explicit Hypergeometric Modularity Method III
• Some Numeric Hypergeometric Supercongruences
• Atkin and Swinnerton-Dyer congruences for meromorphic modular forms
• A Whipple ₇F₆ formula revisited
• Supercongruences related to ₃F₂(1) involving harmonic numbers
• Supercongruences arising from hypergeometric series identities
• q-Supercongruences from Jackson's ₈ϕ₇ summation and Watson's ₈ϕ₇ transformation
• Supercongruences between truncated ₃F₂ hypergeometric series
• Divisibility results concerning truncated hypergeometric series
• Two q-supercongruences from Watson's transformation
• q-Supercongruences from the q-Saalschütz identity
• Streamlined WZ method proofs of Van Hamme supercongruences
• On Some Hypergeometric Modularity Conjectures of Dawsey and McCarthy
• Some supercongruences arising from symbolic summation
• New conjectures involving binomial coefficients and Apéry-like numbers
• New q -Analogues of Van Hamme's (E.2) Supercongruence and of a Supercongruence by Swisher. [europepmc]
• A new family of q -hypergeometric congruences from Andrews' multi-series transformation. [europepmc]