2 problems

Genčev–Rucki conjecture for multiple Apéry-like series
arXiv@arxiv
Genčev–Rucki conjecture. For every $r\in\mathbb{N}$ with $r>1$ ,
Conjectureopenapery-like-series binomial-sums multiple-zeta-values
1
Sun's conjectures on Apéry-like series
arXiv@arxiv
Let $H_n:=\sum_{k=1}^{n}\frac{1}{k}$ be the classical harmonic numbers, and let … be the Dirichlet beta function. Sun's conjectures. The following two identities hold: … … These id…
Conjectureopenapery-like-series special-functions zeta-values
0

Genčev–Rucki conjecture for multiple Apéry-like series