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Dubious Identities: A Visit to the Borwein Zoo

History and Overview 2024-07-08 v1

Abstract

We contribute to the zoo of dubious identities established by J.M. and P.B. Borwein in their 1992 paper, "Strange Series and High Precision Fraud" with five new entries, each of a different variety than the last. Some of these identities are again a high precision fraud and picking out the true from the bogus can be a challenging task with many unexpected twists along the way.

Keywords

Cite

@article{arxiv.2307.05565,
  title  = {Dubious Identities: A Visit to the Borwein Zoo},
  author = {Zachary P. Bradshaw and Christophe Vignat},
  journal= {arXiv preprint arXiv:2307.05565},
  year   = {2024}
}

Comments

17 pages, to appear in American Mathematical Monthly