Comments on: Hardy and Wright, Chapter 4

By: Hardy and Wright, Chapter 11 (part 2) « ∑idiot’s Blog

Hardy and Wright, Chapter 11 (part 2) « ∑idiot’s Blog — Tue, 16 Jun 2009 03:26:55 +0000

[...] out a paper about the continued fraction expansion of (which maybe was pointed out to me in this comment), which talked about Pade approximations. Some of the things looked somewhat similar to what was [...]

By: Hardy and Wright, Chapter 5 « Sumidiot’s Blog

Hardy and Wright, Chapter 5 « Sumidiot’s Blog — Sat, 11 Apr 2009 05:02:46 +0000

[...] Sumidiot’s Blog The math fork of sumidiot.blogspot.com? « Hardy and Wright, Chapter 4 [...]

By: sumidiot

sumidiot — Fri, 10 Apr 2009 03:57:20 +0000

Awesome! Thanks for the link. I’ll definitely check out that paper.

By: Anonymous

Anonymous — Fri, 10 Apr 2009 03:49:41 +0000

The origin of these integrals is tied up with Pade approximants. See for example Section 3 in http://front.math.ucdavis.edu/0601.5660.

By: sumidiot

sumidiot — Sat, 04 Apr 2009 19:38:22 +0000

I suppose the paper "Transcendence of e", available here [pdf] (found via Google search: hermite proof e irrational) gives some justification for the sorts of things seen in HW's proof about e being irrational. I'm going with: it was something terribly clever somebody wrote down. Though apparently not Euler, even if he did have a say [pdf]. Another proof about e's irrationality can be found here.