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
5 papers · 2 filters
On two supercongruences of double binomial sums
Long Li, Ji-Cai Liu
In this note, we confirm two conjectural supercongruences on double sums of binomial coefficients due to El Bachraoui.
A common -analogue of two supercongruences
Victor J. W. Guo, Wadim Zudilin
We give a -congruence whose specializations and correspond to supercongruences (B.2) and (H.2) on Van Hamme's 1997 list: $$ \sum_{k=0}^{(p-1)/2}(-1)^k(4k+1)A_k\equi…
Some new -congruences for truncated basic hypergeometric series: even powers
Victor J. W. Guo, Michael J. Schlosser
We provide several new -congruences for truncated basic hypergeometric series with the base being an even power of . Our results mainly concern congruences modulo the square…
Some new -congruences for truncated basic hypergeometric series
Victor J. W. Guo, Michael J. Schlosser
We provide several new -congruences for truncated basic hypergeometric series, mostly of arbitrary order. Our results include congruences modulo the square or the cube of a cycl…
Factors of some truncated basic hypergeometric series
Victor J. W. Guo
We prove that certain basic hypergeometric series truncated at have the factor , where is the -th cyclotomic polynomial. This confirms two recent conj…