Dubious Identities: A Visit to the Borwein Zoo

TL;DR

This paper expands the collection of dubious mathematical identities by adding five new examples, highlighting the challenges in distinguishing true identities from false ones with high precision.

Contribution

It introduces five new dubious identities, each of a different variety, enriching the Borwein zoo of questionable mathematical formulas.

Findings

Identifies five new dubious identities of various types.

Highlights the difficulty in verifying high-precision identities.

Provides insights into the nature of mathematical frauds.

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.