Chen Wang

activity

20132026

most citedSymbolic summation methods and hypergeometric supercongruences

11 citations · 33 across the 24 of their papers we have counts for

collaborators

26 papers

math.CO2026

A new recursive construction for large sets of Kirkman triple systems

Chen Wang

We give a recursive construction of an LKTS(7q + 2) from an LKTS(q + 2) and an auxiliary permutation structure on an abelian group of order q, which we call a cubic orthomorphism.…

math.NT2023

Two supercongruences involving truncated hypergeometric series

Wei Xia, Chen Wang

In this paper, we mainly establish two supercongruences involving truncated hypergeometric series by using some hypergeometric transformation formulas. The first supercongruence co…

math.NT2023

Supercongruences arising from a $_{7} F_{6}$ hypergeometric transformation formula

Chen Wang

Using a $_{7} F_{6}$ hypergeometric transformation formula, we prove two supercongruences. In particular, one of these supercongruences confirms a recent conjecture of Guo, Liu and Sc…

cs.LG2023

Tight Regret Bounds for Single-pass Streaming Multi-armed Bandits

Chen Wang

Regret minimization in streaming multi-armed bandits (MABs) has been studied extensively in recent years. In the single-pass setting with $K$ arms and $T$ trials, a regret lower bo…

math.NT2022

Some congruences from the Karlsson-Minton summation formula

Junhang Li, Yezhenyang Tang, Chen Wang

Let $p$ be an odd prime. In this paper, by using the well-known Karlsson-Minton summation formula, we mainly prove two supercongruences as variants of a supercongruence of Deines-F…

math.CO2022

An asymptotic approach to Borwein-type sign pattern theorems

Chen Wang, Christian Krattenthaler

The celebrated (First) Borwein Conjecture predicts that for all positive integers~ $n$ the sign pattern of the coefficients of the ``Borwein polynomial'' $$(1-q)(1-q^2)(1-q^4)(1-q^5…

math.NT2021★ 1 cited

A parametric congruence motivated by Orr's identity

Chen Wang, Zhi-Wei Sun

For any $m, n \in N = {0, 1, 2 \dots}$ , the truncated hypergeometric series $_{m + 1} F_{m}$ is defined by $$ {}_{m+1}F_m\bigg[\begin{matrix}x_0&x_1&\ldots&x_m\\ &y_1&\ldots&y_m\e…

math.NT2020

Congruences concerning generalized central trinomial coefficients

Jia-Yu Chen, Chen Wang

For any $n \in N = {0, 1, 2, \dots}$ and $b, c \in Z$ , the generalized central trinomial coefficient $T_{n} (b, c)$ denotes the coefficient of $x^{n}$ in the expansion of $(x^…

math.NT2020

Proof of some supercongruences concerning truncated hypergeometric series

Chen Wang, Dian-Wang Hu

In this paper, we prove some supercongruences concerning truncated hypergeometric series. For example, we show that for any prime $p > 3$ and positive integer $r$ , $$ \sum_{k=0}^{p^r…

math.NT2020

Proof of some conjectural hypergeometric supercongruences via curious identities

Chen Wang, Zhi-Wei Sun

In this paper, we prove several supercongruences conjectured by Z.-W. Sun ten years ago via certain strange hypergeometric identities. For example, for any prime $p > 3$ , we show tha…

math.NT2020★ 3 cited

On two conjectural supercongruences of Z.-W. Sun

Chen Wang

In this paper, we mainly prove two conjectural supercongruences of Sun by using the following identity $$ \sum_{k=0}^n\binom{2k}{k}^2\binom{2n-2k}{n-k}^2=16^n\sum_{k=0}^n\frac{\bin…

math.NT2020★ 3 cited

Some $q$ -congruences arising from certain identities

Chen Wang, He-Xia Ni

In this paper, by constructing some identities, we prove some $q$ -analogues of some congruences. For example, for any odd integer $n > 1$ , we show that \begin{gather*} \sum_{k=0}^{n-…

math.NT2020

Divisibility results concerning truncated hypergeometric series

Chen Wang, Wei Xia

In this paper, using the well-known Karlsson-Minton formula, we mainly establish two divisibility results concerning truncated hypergeometric series. Let $n > 2$ and $q > 0$ be integer…

math.NT2020★ 1 cited

On a conjectural congruence of Guo

Chen Wang, Hao Pan

Let $p \equiv 3 (mod 4)$ be a prime and $r$ a positive integer. We show that $k = 1 \prod (p^{2 r} - 1) /2 \frac{4 k - 1}{4 k + 1} \equiv 1 (mod p^{2}) .$ This confirms a recent conjecture of…

math.NT2019★ 11 cited

Symbolic summation methods and hypergeometric supercongruences

Chen Wang

In this paper, we establish the following two congruences: \begin{gather*} \sum_{k=0}^{(p+1)/2}(3k-1)\frac{\left(-\frac{1}{2}\right)_k^2\left(\frac{1}{2}\right)_k4^k}{k!^3}\equiv p…

math.NT2019★ 1 cited

$p$ -adic analogues of hypergeometric identities and their applications

Chen Wang, Zhi-Wei Sun

In this paper, we confirm several conjectures posed by Sun recently; for example, we prove that for any odd prime $p$ we have $$ \sum_{k=0}^{p-1}A_k\equiv\begin{cases}4x^2-2p\pmod{…

math.NT2019

Some parametric congruences involving generalized central trinomial coefficients

Chen Wang, Zhi-Wei Sun

For $n \in N = {0, 1, 2, \dots}$ and $b, c \in Z$ , the $n$ th generalized central trinomial coefficient $T_{n} (b, c)$ is the coefficient of $x^{n}$ in the expansion of $(x^2+b…

math.NT2019★ 2 cited

Two congruences concerning Apéry numbers

Chen Wang

Let $n$ be a nonnegative integer. The $n$ -th Apéry number is defined by $A_{n} := k = 0 \sum n (k n + k)^{2} (k n)^{2} .$ Z.-W. Sun ever investigated the congruence properties…

math.NT2019

A local-global theorem for $p$ -adic supercongruences

Hao Pan, Roberto Tauraso, Chen Wang

Let $Z_{p}$ denote the ring of all $p$ -adic integers and call $U = {(x_{1}, \dots, x_{n}) : a_{1} x_{1} + \dots + a_{n} x_{n} + b = 0}$ a hyperplane over $Z_{p}^{n}$ , where at…

math.NT2019★ 1 cited

On some conjectural congruences

Chen Wang

In this paper, we confirm some congruences conjectured by V.J.W. Guo and M.J. Schlosser recently. For example, we show that for primes $p > 3$ , $$ \sum_{k=0}^{p-1}(2pk-2k-1)\frac{\le…

math.NT2018★ 2 cited

Proof of a congruence concerning truncated hypergeometric series $_{6} F_{5}$

Chen Wang

In this paper, we mainly prove the following congruence conjectured by J.-C. Liu: $$ {}_6F_5\bigg[\begin{matrix}\frac{5}{4}&\frac{1}{2}&\frac{1}{2}&\frac{1}{2}&\frac{1}{2}&\frac{1}…

math.NT2018★ 6 cited

Supercongruences concerning truncated hypergeometric series

Chen Wang, Hao Pan

Let $n \geq 3$ be an integer and $p$ be a prime with $p \equiv 1 (mod n)$ . In this paper, we show that $${}_nF_{n-1}\bigg[\begin{matrix} \frac{n-1}{n}&\frac{n-1}{n}&\ldots&\frac{n-1}…

math.NT2018

Supercongruences for the $(p - 1)$ th Apéry number

Ji-Cai Liu, Chen Wang

In this paper, we prove two conjectural supercongruences on the $(p - 1)$ th Apéry number, which were recently proposed by Z.-H. Sun.

math.CO2017

p-Divisibility of the number of linear representations of an Abelian p-group

Chen Wang

We establish lower bounds for the $p$ -divisibility of the quantity $# Hom (G, G L_{n} (F_{q}))$ , the number of homomorphisms from $G$ to a general linear group, whe…

A new recursive construction for large sets of Kirkman triple systems

Two supercongruences involving truncated hypergeometric series

Supercongruences arising from a 7​F6​ hypergeometric transformation formula

Tight Regret Bounds for Single-pass Streaming Multi-armed Bandits

Some congruences from the Karlsson-Minton summation formula

An asymptotic approach to Borwein-type sign pattern theorems

A parametric congruence motivated by Orr's identity

Congruences concerning generalized central trinomial coefficients

Proof of some supercongruences concerning truncated hypergeometric series

Proof of some conjectural hypergeometric supercongruences via curious identities

On two conjectural supercongruences of Z.-W. Sun

Some q-congruences arising from certain identities

Divisibility results concerning truncated hypergeometric series

On a conjectural congruence of Guo

Symbolic summation methods and hypergeometric supercongruences

p-adic analogues of hypergeometric identities and their applications

Some parametric congruences involving generalized central trinomial coefficients

Two congruences concerning Apéry numbers

A local-global theorem for p-adic supercongruences

On some conjectural congruences

Proof of a congruence concerning truncated hypergeometric series 6​F5​

Supercongruences concerning truncated hypergeometric series

Supercongruences for the (p−1)th Apéry number

p-Divisibility of the number of linear representations of an Abelian p-group

Supercongruences arising from a $_{7} F_{6}$ hypergeometric transformation formula

Some $q$ -congruences arising from certain identities

$p$ -adic analogues of hypergeometric identities and their applications

A local-global theorem for $p$ -adic supercongruences

Proof of a congruence concerning truncated hypergeometric series $_{6} F_{5}$

Supercongruences for the $(p - 1)$ th Apéry number