Sender: Adrian Valc
Subject: "ugly" constant
Long-time ago I red an article about surprizing (and in a way frustrating) results in math, for example the limit of a nicely defined infinite series which was believed to be a simple rational number, but later was determined to be a transcendent number that missed the rational value by an incredibly small amount (so for example the limit proved to be 2.75000...00137.. with a lot of 0's in between). I cannot find that article anymore, so i was wondering if you have any such examples, or you can point to any relevant information source?
Thanks a lot,
The article you saw was probably J.M. Borwein & P.B. Borwein, Strange Series and High Precision Fraud, The American Mathematical Monthly, Volume 99, Number 7, (Aug-Sep 1992) 622--640. Some of the results are listed below.