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2 votes

What is the simplest, most elementary proof that a particular number is transcendental?

Full details require a short paper rather than a long MO comment and Daniel Briggs and I have started discussing writing one jointly. But let me address some of what you ask right now. A finite coll …
David Feldman's user avatar
31 votes

What is the simplest, most elementary proof that a particular number is transcendental?

I keep meaning to write this up nicely, but one can prove the transcendentality of Liouville's number in a very, very elementary way. Write $L$ for the Liouville number. Suppose $p(L)=0$ for some p …
David Feldman's user avatar