Nanjing University of Finance and Economics

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20072025

most citedCo-contributorship Network and Division of Labor in Individual Scientific Collaborations

23 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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math.NT2023

On finite field analogues of determinants involving the Beta function

Hai-Liang Wu, Li-Yuan Wang, Hao Pan

Motivated by the works of L. Carlitz, R. Chapman and Z.-W. Sun on cyclotomic matrices, in this paper, we investigate certain cyclotomic matrices concerning the Jacobi sums over fin…

math.NT2018

Some permutations over $F_{p}$ concerning primitive roots

Li-Yuan Wang, Hao Pan

Let $p$ be an odd prime and let $F_{p}$ denote the finite field with $p$ elements. Suppose that $g$ is a primitive root of $F_{p}$ . Define the permutation $τ_g:\,{\…

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

On the sums of three generalized polygonal numbers

Hai-Liang Wu, Hao Pan

For each natural number $m \geq 3$ , let $P_{m} (x)$ denote the generalized $m$ -gonal number $\frac{( m - 2 ) x ^{2} - ( m - 4 ) x}{2}$ with $x \in Z$ . In this paper, with the help of the congru…

math.NT2018

On the almost universality of $⌊ x^{2} / a ⌋ + ⌊ y^{2} / b ⌋ + ⌊ z^{2} / c ⌋$

Hai-Liang Wu, He-Xia Ni, Hao Pan

In 2013, Farhi conjectured that for each $m \geq 3$ , every natural number $n$ can be represented as $⌊ x^{2} / m ⌋ + ⌊ y^{2} / m ⌋ + ⌊ z^{2} / m ⌋$ with $x,y,z\in\Z…

math.NT2016

Small gaps between the Piatetski-Shapiro primes

Hongze Li, Hao Pan

Suppose that $1 < c < 9/8$ . For any $m \geq 1$ , there exist infinitely many $n$ such that ${[n^{c}], [(n + 1)^{c}], \dots, [(n + k_{0})^{c}]}$ contains at least $m + 1$ primes, if $k_{0}$ is…

math.NT2014

Consecutive primes and Legendre symbols

Hao Pan, Zhi-Wei Sun

Let $m$ be any positive integer and let $δ_{1}, δ_{2} \in {1, - 1}$ . We show that for some constanst $C_{m} > 0$ there are infinitely many integers $n > 1$ with $p_{n + m} - p_{n} \leq C_{m}$ such that $…

On finite field analogues of determinants involving the Beta function

Some permutations over Fp​ concerning primitive roots

Supercongruences concerning truncated hypergeometric series

On the sums of three generalized polygonal numbers

On the almost universality of ⌊x2/a⌋+⌊y2/b⌋+⌊z2/c⌋

Small gaps between the Piatetski-Shapiro primes

Consecutive primes and Legendre symbols

Some permutations over $F_{p}$ concerning primitive roots

On the almost universality of $⌊ x^{2} / a ⌋ + ⌊ y^{2} / b ⌋ + ⌊ z^{2} / c ⌋$