Bo Jiang

collaborators

3 papers

math.NT2026

Some new results on determinants and permanents

Bo Jiang, Zhi-Wei Sun

In this paper we confirm several conjectures on determinants and permanents. For example, we prove that for any prime $p \equiv 3 (mod 4)$ the number $2\det[a_{jk}]_{0\le j,k\le (p-1)…

math.NT2026

On series identities involving $(k 4 k)$ and harmonic numbers

Bo Jiang, Zhi-Wei Sun

The harmonic numbers are those $H_{n} = \sum_{0 < k \leq n} \frac{1}{k} (n = 0, 1, 2, \dots)$ . In this paper we confirm over ten conjectural series identities with summands involving the binomial…

math.NT2025

On $p$ -adic congruences involving $d$

Bo Jiang, Zhi-Wei Sun

Let $p$ be an odd prime and let $d$ be an integer not divisible by $p$ . We prove that $$ \prod_{1\le m,n\le p-1\atop p\nmid m^2-dn^2}\ (x-(m+n\sqrt{d})) \equiv \begin{cases}\sum_{k…

Some new results on determinants and permanents

On series identities involving (k4k​) and harmonic numbers

On p-adic congruences involving d​

On series identities involving $(k 4 k)$ and harmonic numbers

On $p$ -adic congruences involving $d$