scientific article; zbMATH DE number 7770034
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Publication:6091029
DOI10.4134/bkms.b220369MaRDI QIDQ6091029
Publication date: 23 November 2023
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
cyclotomic polynomialssupercongruencescreative microscoping\(q\)-supercongruencesJackson's \({}_6 \phi_5\) summation
Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences; primitive roots; residue systems (11A07)
Cites Work
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- On the supercongruence conjectures of van Hamme
- On a congruence involving \(q\)-Catalan numbers
- On supercongruences for truncated sums of squares of basic hypergeometric series
- Some supercongruences occurring in truncated hypergeometric series
- A \(q\)-microscope for supercongruences
- \(q\)-analogues of the (G.2) supercongruence of Van Hamme
- Some \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomial
- Some \(q\)-supercongruences from a quadratic transformation by Rahman
- Further \(q\)-analogues of the (G.2) supercongruence of Van Hamme
- On the divisibility of sums of even powers of \(q\)-binomial coefficients
- A new family of \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomial
- A family of \(q\)-hypergeometric congruences modulo the fourth power of a cyclotomic polynomial
- Dwork-type supercongruences through a creative \(q\)-microscope
- Supercongruences on truncated hypergeometric series
- Some \(q\)-supercongruences from transformation formulas for basic hypergeometric series
- Proofs of Guo and Schlosser's two conjectures
- A TRUNCATED IDENTITY OF EULER AND RELATED -CONGRUENCES
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