259 citations
- Radboud University NijmegenNL5 papers
- Beijing Computational Science Research CenterCN4 papers
- Chinese Academy of SciencesCN4 papers
- East China Normal UniversityCN4 papers
- Nanjing UniversityCN4 papers
- Nanjing Normal UniversityCN3 papers
- Singapore University of Technology and DesignSG3 papers
- Tongji UniversityCN3 papers
- University of ViennaAT3 papers
- Wuhan Institute of Physics and MathematicsCN3 papers
- Argonne National LaboratoryUS2 papers
- Centre National de la Recherche ScientifiqueFR2 papers
4 papers · 2 filters
Proof of a basic hypergeometric supercongruence modulo the fifth power of a cyclotomic polynomial
Victor J. W. Guo, Michael J. Schlosser
By means of the -Zeilberger algorithm, we prove a basic hypergeometric supercongruence modulo the fifth power of the cyclotomic polynomial . This result appears to be qu…
On a -deformation of modular forms
Victor J. W. Guo, Wadim Zudilin
There are many instances known when the Fourier coefficients of modular forms are congruent to partial sums of hypergeometric series. In our previous work arXiv:1803.01830, such pa…
A -microscope for supercongruences
Victor J. W. Guo, Wadim Zudilin
By examining asymptotic behavior of certain infinite basic (-) hypergeometric sums at roots of unity (that is, at a "-microscopic" level) we prove polynomial congruences for…
Ramanujan-type formulae for : -analogues
Victor J. W. Guo, Wadim Zudilin
The hypergeometric formulae designed by Ramanujan more than a century ago for efficient approximation of , Archimedes' constant, remain an attractive object of arithmetic study.…