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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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.CA2019★ 1 cited

Trigonometric identities and quadratic residues

Zhi-Wei Sun

In this paper we obtain some novel identities involving trigonometric functions. Let $n$ be any positive odd integer. We show that $$\sum_{r=0}^{n-1}\frac1{1+\sin2π\frac{x+r}n+\cos…

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

Trigonometric identities and quadratic residues

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