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Topic: Crank approaches to transcendence
Replies: 3   Last Post: Apr 13, 2013 9:59 PM

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Posts: 780
Registered: 7/12/10
Crank approaches to transcendence
Posted: Apr 13, 2013 5:04 PM
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I'm surprised that there don't seem to be many crank "proofs" that any constants, whose rationality is unknown, (such as Euler's constant), are irrational or transcendental.
I would have thought that "proofs" that Euler's constant is irrational would be a massive crank magnet for the following reasons: 1) It's an easy result to state and understand. 2) Crank proofs would seem easy to generate. All you do is write that the constant = p/q with p and q integers, then do several pages of algebraic manipulations, make a mistake in the computations half way through the argument, then derive a contradiction based on the mistake

I have found very few crank transcendence proofs. Are they rare, or am I just looking in the wrong places?

Paul Epstein

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