Dubious Identities: A Visit to the Borwein Zoo

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...

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Veröffentlicht in:The American mathematical monthly 2024-05, Vol.131 (5), p.400-416
Hauptverfasser: Bradshaw, Zachary P., Vignat, Christophe
Format: Artikel
Sprache:eng
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Zusammenfassung: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. This work is dedicated to the Borwein family, mathematicians extraordinaire with a propensity for the implausible.
ISSN:0002-9890
1930-0972
DOI:10.1080/00029890.2024.2309099