Re: Euler and 3

In article <220120080930154901%edgar@xxxxxxxxxxxxxxxxxxxxxxxxxxx>,
"G. A. Edgar" <edgar@xxxxxxxxxxxxxxxxxxxxxxxxxxx> wrote:

In article
<16136681.1201011521204.JavaMail.jakarta@xxxxxxxxxxxxxxxxxxxxxx>, G.E.
Ivey <george.ivey@xxxxxxxxxxxxx> wrote:

The Euler-Mascheroni constant is not algebraic.

Wow. A new discovery. First announced in sci.math ... !!! ???

G. E. Ivey may not be able to prove that gamma is transcendental
but is not really going out on a limb to assert it.

Anyway, back to the question that started this thread, I suppose
one way to make sense of it is to ask whether there is some series
like gamma^2 = (1 / 3) + (1 / 3333) + (1 / 3333333) + ....
that is, some series sum (1 / a_n) where a_1 = 3 and a_n is big
for n > 1 and a_n follows some simple pattern. If there is such
a series, it might be taken as an "explanation" of the closeness
of gamma^2 and 1/3.

--
Gerry Myerson (gerry@xxxxxxxxxxxxxxx) (i -> u for email)
.