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fundamental theorem of transcendence (Theorem)

The tongue-in-cheek name given to the fact that if $n$ is a nonzero integer, then $|n| \geq 1$ This trick is used in many transcendental number theory proofs. In fact, the hardest step of many problems is showing that a particular integer is not zero.




"fundamental theorem of transcendence" is owned by KimJ.
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See Also: e is transcendental

Keywords:  transcendence transcendental number theory
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Cross-references: proofs, theory, transcendental number, integer

This is version 2 of fundamental theorem of transcendence, born on 2002-10-28, modified 2004-02-16.
Object id is 3546, canonical name is FundamentalTheoremOfTranscendence.
Accessed 2361 times total.

Classification:
AMS MSC11J81 (Number theory :: Diophantine approximation, transcendental number theory :: Transcendence )

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