Zhi-Wei Sun

activity

20102026

most citedNew series for some special values of

L

-functions

15 citations · 20 across the 24 of their papers we have counts for

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4 papers · 1 filter

math.CO2026

Evaluation of two determinants involving $q$ -integers

Zhi-Wei Sun

The $q$ -analogue of an integer $m$ is given by $[m]_{q} = (1 - q^{m}) / (1 - q)$ . Let $a$ be an integer, and let $n$ be a positive odd integer. Via discrete Fourier transforms, we establish th…

math.CO2024★ 1 cited

Evaluations of $\sum_{k = 1}^{\infty} \frac{x ^{k}}{k ^{2} ( k 3 k )}$ and related series

Zhi-Wei Sun, Yajun Zhou

We perform polylogarithmic reductions for several classes of infinite sums motivated by Z.-W. Sun's related works in 2022--2023. For certain choices of parameters, these series can…

math.CO2023

Taylor coefficients and series involving harmonic numbers

Qing-Hu Hou, Zhi-Wei Sun

During 2022--2023 Z.-W. Sun posed many conjectures on infinite series with summands involving generalized harmonic numbers. Motivated by this, we deduce $58$ series identities invo…

math.CO2022

Proof of a conjecture involving derangements and roots of unity

Han Wang, Zhi-Wei Sun

Let $n > 1$ be an odd integer. For any primitive $n$ -th root $ζ$ of unity in the complex field. Via the Engenvector-eigenvalue Identity, we show that $$\sum_{τ\in D(n-1)}\mathrm{sign…

Evaluation of two determinants involving q-integers

Evaluations of ∑k=1∞​k2(k3k​)xk​ and related series

Taylor coefficients and series involving harmonic numbers

Proof of a conjecture involving derangements and roots of unity

Evaluation of two determinants involving $q$ -integers

Evaluations of $\sum_{k = 1}^{\infty} \frac{x ^{k}}{k ^{2} ( k 3 k )}$ and related series