English

The WZ method and flawless WZ pairs

Number Theory 2026-01-14 v1

Abstract

Recently, Kam Cheong Au discovered a powerful methodology of finding new Wilf-Zeilberger (WZ) pairs. He calls it WZ seeds and gives numerous examples of applications to proving longstanding conjectural identities for reciprocal powers of π\pi and their duals for Dirichlet LL-values. In this note we explain how a modification of Au's WZ pairs together with a classical analytic argument allows one to obtain simpler proofs of his results. We illustrate our method with a few examples elaborated with assistance of Maple code that we have developed.

Cite

@article{arxiv.2503.00570,
  title  = {The WZ method and flawless WZ pairs},
  author = {Jesús Guillera},
  journal= {arXiv preprint arXiv:2503.00570},
  year   = {2026}
}

Comments

8 pages

R2 v1 2026-06-28T22:03:11.388Z