Yajun Zhou

most citedEvaluations of

\sum_{k = 1}^{\infty} \frac{x ^{k}}{k ^{2} ( k 3 k )}

and related series

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2026

Galois descents of certain multiple polylogarithms

Yajun Zhou

We prove some conjectures of K. C. Au concerning the descents of cyclotomic levels in certain sums over multiple polylogarithms. Via answers to a question of Au in some particular…

math.CA2024

Proof of conjectures on series with summands involving $(k 2 k) 8^{k} / ((k 3 k) (3 k 6 k))$

Zhi-Wei Sun, Yajun Zhou

Using cyclotomic multiple zeta values of level $8$ , we confirm and generalize several conjectural identities on infinite series with summands involving $\binom{2k}k8^k/(\binom{3k}k…

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…

Galois descents of certain multiple polylogarithms

Proof of conjectures on series with summands involving (k2k​)8k/((k3k​)(3k6k​))

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

Proof of conjectures on series with summands involving $(k 2 k) 8^{k} / ((k 3 k) (3 k 6 k))$

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