English

WZ proofs of Ramanujan-type series (via $_2F_1$ evaluations)

Number Theory 2023-12-05 v3

Abstract

We use Zeilberger's algorithm for proving some identities of Ramanujan-type via 2F1_2F_1 evaluations.

Keywords

Cite

@article{arxiv.2001.08104,
  title  = {WZ proofs of Ramanujan-type series (via $_2F_1$ evaluations)},
  author = {Jesús Guillera},
  journal= {arXiv preprint arXiv:2001.08104},
  year   = {2023}
}

Comments

8 pages + Appendix (new). In the Appendix we prove a rapid formula for the computation of the lemniscate constant