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 and their duals for Dirichlet -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