English

Wilf-Zeilberger seeds and non-trivial hypergeometric identities

Combinatorics 2025-01-30 v4 Classical Analysis and ODEs Number Theory

Abstract

Through a systematic approach on generating Wilf-Zeilberger-pairs, we prove some hypergeometric identities conjectures due to Z.W. Sun, J. Guillera and Y. Zhao etc., including two Ramanujan-1/π41/\pi^4, one 1/π31/\pi^3 formulas as well as a remarkable series for ζ(5)\zeta(5).

Keywords

Cite

@article{arxiv.2312.14051,
  title  = {Wilf-Zeilberger seeds and non-trivial hypergeometric identities},
  author = {Kam Cheong Au},
  journal= {arXiv preprint arXiv:2312.14051},
  year   = {2025}
}