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
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31 papers · 1 filter
Proof of a q-supercongruence conjectured by Guo and Schlosser
Long Li, Su-Dan Wang
In this paper, we confirm the following conjecture of Guo and Schlosser: for any odd integer and or , $$ \sum_{k=0}^{M}[4k-1]_{q^2}[4k-1]^2\frac{(q^{-2};q^4)…
Some variations of a "divergent" Ramanujan-type -supercongruence
Victor J. W. Guo
Using the -Wilf--Zeilberger method and a -analogue of a "divergent" Ramanujan-type supercongruence, we give several -supercongruences modulo the fourth power of a cyclotom…
Dwork-type supercongruences through a creative -microscope
Victor J. W. Guo, Wadim Zudilin
We develop an analytical method to prove congruences of the type $$ \sum_{k=0}^{(p^r-1)/d}A_kz^k \equiv ω(z)\sum_{k=0}^{(p^{r-1}-1)/d}A_kz^{pk} \pmod{p^{mr}\mathbb Z_p[[z]]} \quad…
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…