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#1 2009-08-05 03:46:21

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Gelfond–Schneider theorem



smile

http://z8.invisionfree.com/DYK/index.php?showtopic=858

Last edited by JaneFairfax (2009-08-05 04:18:58)


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#2 2009-08-05 03:58:35

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: Gelfond–Schneider theorem

Hi Jane;

I've seen this one. But maybe I didn't understand it. I thought b had to be irrational and algebraic.

Used to establish that the (gelfond schneider constant)

is transcendental.

Last edited by bobbym (2009-08-05 04:08:37)


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#3 2009-08-05 04:18:44

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Gelfond–Schneider theorem


True,
has to be algebraic as well.

According to the theorem, the number

is transcendental! eek


Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

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#4 2009-08-05 04:26:53

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,238

Re: Gelfond–Schneider theorem

Hi Jane;

Thats a stunner! I didn't think about that one. Thanks.

By the way that proof he presents is really tough.

Last edited by bobbym (2009-08-05 11:06:36)


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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