Factors of certain basic hypergeometric sums

DOI10.1007/s11139-023-00798-yMaRDI QIDQ6200982

Xiao Yu, Jian Cao, Victor J. W. Guo

Publication date: 25 March 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

zbMATH Keywords

cyclotomic polynomialsbasic hypergeometric series

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences; primitive roots; residue systems (11A07)

Cites Work

• Unnamed Item
• Unnamed Item
• On sums of Apéry polynomials and related congruences
• Some \(q\)-analogues of supercongruences of Rodriguez-Villegas
• On supercongruences for truncated sums of squares of basic hypergeometric series
• A \(q\)-microscope for supercongruences
• A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function.
• Supercongruences concerning truncated hypergeometric series
• A \(q\)-supercongruence from a \(q\)-analogue of Whipple's \({}_3F_2\) summation formula
• Some symmetric \(q\)-congruences modulo the square of a cyclotomic polynomial
• Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions
• Factors of some truncated basic hypergeometric series
• Some \(q\)-supercongruences from transformation formulas for basic hypergeometric series
• Some \(q\)-supercongruences from Gasper's Karlsson-Minton type summation

This page was built for publication: Factors of certain basic hypergeometric sums