Dear WW Friends,
This concerns my Research Announcement dated 4/1/97.
I got two kinds of reactions:
1) Congratulations on having proved that e+pi and e*pi are transcendental.
2) Allegations that the paper is erroneous and is an April Fool's
Joke.
Both are wrong! A careful reading of the paper would reveal that
I did not once claim to have proven that e+pi and e*pi are
not algebraic. All I claimed was that I made a spectacular deduction:
ref. [G] and ref. [H] IMPLY that e*pi and e+pi are transcendental
Since Hermite has impecable credentials, this raises the suspicion
that perhaps [G] is erroneous.
You are welcome to look up ref. [G], and see for yourself.
(I did make two minor errors: E. G. Goodwin should be
E. J. Goodwin, and 1893 should be 1894 (thanks, Dick Askey!))
-Doron
P.S. Edward J. Goodwin is the same guy from Indiana (that
Beckman, in his Pi book, renamed Edwin Goodman), I was
reminded of him from ilan Vardi's recent article in his
webpage
http://www.oxy.edu/~ilan/home.html
where Goodwin's statement contains the fact that his
astounding discoveries were published in the Amer. Math. Monthly,
`the leading exponent of math in the US'. To my surprise,
this was indeed the case. with the mild disclaimer
`published by request of the author'.