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Topic: Gelfond Schneider theorem

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	Hilbert's problems - Wikipedia, the free encyclopedia
		Result: no, Matiyasevich's theorem implies that this is impossible
		Extend Kronecker's theorem on abelian extensions of the rational numbers to any base number field.
		It is widely held that Gödel's second incompleteness theorem shows that there is no finitistic proof that PA is consistent (though Gödel himself disclaimed this inference [this needs a better reference-- but cf Dawson p.71ff "...Gödel too [like Hilbert] believed that no mathematical problems lay beyond the reach of human reason.
	en.wikipedia.org /wiki/Hilbert%27s_problems (2190 words)

	Encyclopedia :: encyclopedia : List of theorems (Site not responding. Last check: 2007-11-01)
		Haboush's theorem (algebraic groups, representation theory, invariant theory)
		Hilbert's Nullstellensatz (theorem of zeroes) (commutative algebra, algebraic geometry)
		Stone's representation theorem for Boolean algebras (mathematical logic)
	www.hallencyclopedia.com /List_of_theorems (262 words)

	PlanetMath:
		Gauss' mean value theorem for harmonic functions owned by pahio
		generalized mean value theorem (=extended mean-value theorem) owned by mathwizard
		Gerschgorin's circle theorem (=Gershgorin's circle theorem) owned by lieven
	planetmath.org /encyclopedia/G (1364 words)

	Mathematics Weblog :: December :: 2004 (Site not responding. Last check: 2007-11-01)
		This theorem was being discussed at a seminar many years ago as was the transcendence of
		With dubious regard for appropriateness of terminology, this family was called “the general solution” of the given equation.
		It may be unclear whether this [differential equations of order n have n essential constants] is a theorem or a definition or merely a collection of words, but we are now in a realm where nearly everything is unclear.
	www.6thform.info /maths/index.php?m=200412 (1390 words)

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