The WZ method and flawless WZ pairs
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909989236375552 |
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| author | Guillera, Jesús |
| author_facet | Guillera, Jesús |
| contents | 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 $π$ and their duals for Dirichlet $L$-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_00570 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The WZ method and flawless WZ pairs Guillera, Jesús Number Theory 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 $π$ and their duals for Dirichlet $L$-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. |
| title | The WZ method and flawless WZ pairs |
| topic | Number Theory |
| url | https://arxiv.org/abs/2503.00570 |