English

On a conjectural series of Sun for the mathematical constant $\beta(4)$

Number Theory 2023-03-10 v1

Abstract

Series expansions for the mathematical constant β(4)\beta(4) are rare in the history. With the help of the operator method and a hypergeometric transformation, we prove a surprising conjectural series of Sun for β(4)\beta(4). Furthermore, we find five new series for the same constant in this paper.

Keywords

Cite

@article{arxiv.2303.05402,
  title  = {On a conjectural series of Sun for the mathematical constant $\beta(4)$},
  author = {Chuanan Wei},
  journal= {arXiv preprint arXiv:2303.05402},
  year   = {2023}
}