English

Some Remarks on a recent article by J. -P. Allouche

Combinatorics 2019-03-25 v1

Abstract

In 1980 Otto G. Ruehr made some puzzling comments that a certain identity A, that he proved, is equivalent to another identity B, but he did not explain why they are equivalent. Recently J.-P. Allouche tried to explain why they are "equivalent", using about eight pages. We comment that it is extremely unlikely to be Ruehr's reasoning (he probably got mixed up with a different problem), but be that as it may, it is not worthwhile to try and deduce B from A, since both A and B are routinely provable using Wilf-Zeilberger algorithmic proof theory (implemented in Maple) and the Almkvist-Zeilberger algorithm.

Cite

@article{arxiv.1903.09511,
  title  = {Some Remarks on a recent article by J. -P. Allouche},
  author = {Shalosh B. Ekhad and Doron Zeilberger},
  journal= {arXiv preprint arXiv:1903.09511},
  year   = {2019}
}

Comments

4 pages

R2 v1 2026-06-23T08:16:20.486Z