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
Proof of a conjecture involving Sun polynomials
Victor J. W. Guo, Guo-Shuai Mao, Hao Pan
The Sun polynomials are defined by \begin{align*} g_n(x)=\sum_{k=0}^n{n\choose k}^2{2k\choose k}x^k. \end{align*} We prove that, for any positive integer , there hold \…
On the number of representations of n as a linear combination of four triangular numbers II
Min Wang, Zhi-Hong Sun
Let and be the set of integers and the set of positive integers, respectively. For let be the number of representations of …
Some relations between t(a,b,c,d;n) and N(a,b,c,d;n)
Zhi-Hong Sun
Let and be the set of integers and the set of positive integers, respectively. For let be the number of representations of …
On the number of representations of n as a linear combination of four triangular numbers
Min Wang, Zhi-Hong Sun
Let and be the set of integers and the set of positive integers, respectively. For let be the number of representations of …
Proof of a congruence on sums of powers of -binomial coefficients
Victor J. W. Guo, Ji-Cai Liu
We prove that, if and are nonnegative integers, then \begin{align*} \frac{[a_1+\cdots+a_m+1]!}{[a_1]!\ldots[a_m]!}\sum^{n-1}_{h=0}q^h\prod_{i=1}^m…