A q -analogue of a Ramanujan-type supercongruence involving central binomial coefficients
By Victor J. W. Guo. 2018
74 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics
View Paper: https://www.semanticscholar.org/paper/e013f19b3330da4702009e9acea4c917fa126f63
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- Victor J. W. Guo
- Michael J. Schlosser
- Su-Dan Wang
- Wadim Zudilin
- Ji-Cai Liu
- Zhi-Guo Liu
- Robert Osburn
- David M. Bradley
In Discrete Mathematics and Combinatorics
- Victor J. W. Guo
- Su-Dan Wang
- Michael J. Schlosser
- Wadim Zudilin
- Ji-Cai Liu
- Holly Swisher
- Zhi-Wei Sun
- Jesús Guillera
Citations in the corpus
- A family of q-hypergeometric congruences modulo the fourth power of a cyclotomic polynomial (2019, background): “During the past few years, many congruences and supercongruences were generalized to the q-setting by various authors (see, for instance, [5–18, 25, 26, 30, 32]).”
- Some q-Supercongruences from Transformation Formulas for Basic Hypergeometric Series (2018, background): “2b) for r = 1 have been proved by the first author [16] himself, and the congruence (12.”
- A q-microscope for supercongruences (2018, background): “This is indeed the case, and in a series of papers [8–12] the first author uses the q-WZ machinery to produce many such examples of qsupercongruences, in particular, q-analogues for those from Van Hamme’s famous list [32].”
- Some congruences involving fourth powers of central q-binomial coefficients (2019, methodology): “1 is similar to the WZ method used by Zudilin [26], or the q-WZ method used by Tauraso [22] and the first author [7].”